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Finding the Fourth Proportional to 621.83, 932.74 and 524.96

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Solution

The fourth proportional to 621.83, 932.74 and 524.96 is: 787.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.83 : 932.74 = 524.96 : x
  2. Step 2: Convert to fraction form
    621.83/932.74 = 524.96/x
  3. Step 3: Cross multiply
    621.83x = 932.74 × 524.96
  4. Step 4: Simplify right side
    621.83x = 489,645.21
  5. Step 5: Solve for x
    x = 489,645.21/621.83
  6. Step 6: Final answer
    x = 787.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.