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Finding the Fourth Proportional to 680.16, 938.64 and 414.52

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Solution

The fourth proportional to 680.16, 938.64 and 414.52 is: 572.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.16 : 938.64 = 414.52 : x
  2. Step 2: Convert to fraction form
    680.16/938.64 = 414.52/x
  3. Step 3: Cross multiply
    680.16x = 938.64 × 414.52
  4. Step 4: Simplify right side
    680.16x = 389,085.05
  5. Step 5: Solve for x
    x = 389,085.05/680.16
  6. Step 6: Final answer
    x = 572.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.