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Finding the Fourth Proportional to 532.80, 729.36 and 516.24

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Solution

The fourth proportional to 532.80, 729.36 and 516.24 is: 706.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.80 : 729.36 = 516.24 : x
  2. Step 2: Convert to fraction form
    532.80/729.36 = 516.24/x
  3. Step 3: Cross multiply
    532.80x = 729.36 × 516.24
  4. Step 4: Simplify right side
    532.80x = 376,524.81
  5. Step 5: Solve for x
    x = 376,524.81/532.80
  6. Step 6: Final answer
    x = 706.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.