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Finding the Fourth Proportional to 458.88, 686.88 and 330.24

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Solution

The fourth proportional to 458.88, 686.88 and 330.24 is: 494.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.88 : 686.88 = 330.24 : x
  2. Step 2: Convert to fraction form
    458.88/686.88 = 330.24/x
  3. Step 3: Cross multiply
    458.88x = 686.88 × 330.24
  4. Step 4: Simplify right side
    458.88x = 226,835.25
  5. Step 5: Solve for x
    x = 226,835.25/458.88
  6. Step 6: Final answer
    x = 494.32

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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.