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Finding the Fourth Proportional to 516.24, 712.42 and 292.13

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Solution

The fourth proportional to 516.24, 712.42 and 292.13 is: 403.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.24 : 712.42 = 292.13 : x
  2. Step 2: Convert to fraction form
    516.24/712.42 = 292.13/x
  3. Step 3: Cross multiply
    516.24x = 712.42 × 292.13
  4. Step 4: Simplify right side
    516.24x = 208,119.25
  5. Step 5: Solve for x
    x = 208,119.25/516.24
  6. Step 6: Final answer
    x = 403.14

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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.