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Finding the Fourth Proportional to 653.75, 980.20 and 283.35

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Solution

The fourth proportional to 653.75, 980.20 and 283.35 is: 424.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.75 : 980.20 = 283.35 : x
  2. Step 2: Convert to fraction form
    653.75/980.20 = 283.35/x
  3. Step 3: Cross multiply
    653.75x = 980.20 × 283.35
  4. Step 4: Simplify right side
    653.75x = 277,739.67
  5. Step 5: Solve for x
    x = 277,739.67/653.75
  6. Step 6: Final answer
    x = 424.84

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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.