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Finding the Fourth Proportional to 458.32, 686.92 and 223.92

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Solution

The fourth proportional to 458.32, 686.92 and 223.92 is: 335.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.32 : 686.92 = 223.92 : x
  2. Step 2: Convert to fraction form
    458.32/686.92 = 223.92/x
  3. Step 3: Cross multiply
    458.32x = 686.92 × 223.92
  4. Step 4: Simplify right side
    458.32x = 153,815.13
  5. Step 5: Solve for x
    x = 153,815.13/458.32
  6. Step 6: Final answer
    x = 335.61

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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.