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Finding the Fourth Proportional to 616.41, 849.69 and 429.71

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Solution

The fourth proportional to 616.41, 849.69 and 429.71 is: 592.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.41 : 849.69 = 429.71 : x
  2. Step 2: Convert to fraction form
    616.41/849.69 = 429.71/x
  3. Step 3: Cross multiply
    616.41x = 849.69 × 429.71
  4. Step 4: Simplify right side
    616.41x = 365,116.04
  5. Step 5: Solve for x
    x = 365,116.04/616.41
  6. Step 6: Final answer
    x = 592.33

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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.