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Finding the Fourth Proportional to 653.60, 980.15 and 263.50

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Solution

The fourth proportional to 653.60, 980.15 and 263.50 is: 395.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.60 : 980.15 = 263.50 : x
  2. Step 2: Convert to fraction form
    653.60/980.15 = 263.50/x
  3. Step 3: Cross multiply
    653.60x = 980.15 × 263.50
  4. Step 4: Simplify right side
    653.60x = 258,268.62
  5. Step 5: Solve for x
    x = 258,268.62/653.60
  6. Step 6: Final answer
    x = 395.15

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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.