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Finding the Fourth Proportional to 616.86, 851.28 and 337.10

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Solution

The fourth proportional to 616.86, 851.28 and 337.10 is: 465.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.86 : 851.28 = 337.10 : x
  2. Step 2: Convert to fraction form
    616.86/851.28 = 337.10/x
  3. Step 3: Cross multiply
    616.86x = 851.28 × 337.10
  4. Step 4: Simplify right side
    616.86x = 286,966.49
  5. Step 5: Solve for x
    x = 286,966.49/616.86
  6. Step 6: Final answer
    x = 465.21

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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.