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Finding the Fourth Proportional to 621.46, 932.66 and 296.92

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Solution

The fourth proportional to 621.46, 932.66 and 296.92 is: 445.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.46 : 932.66 = 296.92 : x
  2. Step 2: Convert to fraction form
    621.46/932.66 = 296.92/x
  3. Step 3: Cross multiply
    621.46x = 932.66 × 296.92
  4. Step 4: Simplify right side
    621.46x = 276,925.41
  5. Step 5: Solve for x
    x = 276,925.41/621.46
  6. Step 6: Final answer
    x = 445.60

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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.