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Finding the Fourth Proportional to 458.24, 686.32 and 442.86

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Solution

The fourth proportional to 458.24, 686.32 and 442.86 is: 663.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.24 : 686.32 = 442.86 : x
  2. Step 2: Convert to fraction form
    458.24/686.32 = 442.86/x
  3. Step 3: Cross multiply
    458.24x = 686.32 × 442.86
  4. Step 4: Simplify right side
    458.24x = 303,943.68
  5. Step 5: Solve for x
    x = 303,943.68/458.24
  6. Step 6: Final answer
    x = 663.28

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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.