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Finding the Fourth Proportional to 616.14, 849.42 and 429.36

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Solution

The fourth proportional to 616.14, 849.42 and 429.36 is: 591.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.14 : 849.42 = 429.36 : x
  2. Step 2: Convert to fraction form
    616.14/849.42 = 429.36/x
  3. Step 3: Cross multiply
    616.14x = 849.42 × 429.36
  4. Step 4: Simplify right side
    616.14x = 364,706.97
  5. Step 5: Solve for x
    x = 364,706.97/616.14
  6. Step 6: Final answer
    x = 591.92

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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.