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Finding the Fourth Proportional to 532.62, 795.12 and 508.98

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Solution

The fourth proportional to 532.62, 795.12 and 508.98 is: 759.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.62 : 795.12 = 508.98 : x
  2. Step 2: Convert to fraction form
    532.62/795.12 = 508.98/x
  3. Step 3: Cross multiply
    532.62x = 795.12 × 508.98
  4. Step 4: Simplify right side
    532.62x = 404,700.18
  5. Step 5: Solve for x
    x = 404,700.18/532.62
  6. Step 6: Final answer
    x = 759.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.