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Finding the Fourth Proportional to 516.52, 712.86 and 429.04

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Solution

The fourth proportional to 516.52, 712.86 and 429.04 is: 592.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.52 : 712.86 = 429.04 : x
  2. Step 2: Convert to fraction form
    516.52/712.86 = 429.04/x
  3. Step 3: Cross multiply
    516.52x = 712.86 × 429.04
  4. Step 4: Simplify right side
    516.52x = 305,845.45
  5. Step 5: Solve for x
    x = 305,845.45/516.52
  6. Step 6: Final answer
    x = 592.13

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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.