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Finding the Fourth Proportional to 624.84, 932.66 and 532.86

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Solution

The fourth proportional to 624.84, 932.66 and 532.86 is: 795.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.84 : 932.66 = 532.86 : x
  2. Step 2: Convert to fraction form
    624.84/932.66 = 532.86/x
  3. Step 3: Cross multiply
    624.84x = 932.66 × 532.86
  4. Step 4: Simplify right side
    624.84x = 496,974.54
  5. Step 5: Solve for x
    x = 496,974.54/624.84
  6. Step 6: Final answer
    x = 795.36

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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.