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Finding the Fourth Proportional to 620.52, 929.90 and 456.92

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Solution

The fourth proportional to 620.52, 929.90 and 456.92 is: 684.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.52 : 929.90 = 456.92 : x
  2. Step 2: Convert to fraction form
    620.52/929.90 = 456.92/x
  3. Step 3: Cross multiply
    620.52x = 929.90 × 456.92
  4. Step 4: Simplify right side
    620.52x = 424,889.91
  5. Step 5: Solve for x
    x = 424,889.91/620.52
  6. Step 6: Final answer
    x = 684.73

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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.