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Finding the Fourth Proportional to 616.39, 849.17 and 429.54

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Solution

The fourth proportional to 616.39, 849.17 and 429.54 is: 591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.39 : 849.17 = 429.54 : x
  2. Step 2: Convert to fraction form
    616.39/849.17 = 429.54/x
  3. Step 3: Cross multiply
    616.39x = 849.17 × 429.54
  4. Step 4: Simplify right side
    616.39x = 364,747.69
  5. Step 5: Solve for x
    x = 364,747.69/616.39
  6. Step 6: Final answer
    x = 591.75

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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.