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Finding the Fourth Proportional to 653.80, 980.88 and 220.96

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Solution

The fourth proportional to 653.80, 980.88 and 220.96 is: 331.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.80 : 980.88 = 220.96 : x
  2. Step 2: Convert to fraction form
    653.80/980.88 = 220.96/x
  3. Step 3: Cross multiply
    653.80x = 980.88 × 220.96
  4. Step 4: Simplify right side
    653.80x = 216,735.24
  5. Step 5: Solve for x
    x = 216,735.24/653.80
  6. Step 6: Final answer
    x = 331.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 654.80, 982.38 and 221.96
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.