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Finding the Fourth Proportional to 488.08, 732.03 and 458.02

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Solution

The fourth proportional to 488.08, 732.03 and 458.02 is: 686.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.08 : 732.03 = 458.02 : x
  2. Step 2: Convert to fraction form
    488.08/732.03 = 458.02/x
  3. Step 3: Cross multiply
    488.08x = 732.03 × 458.02
  4. Step 4: Simplify right side
    488.08x = 335,284.38
  5. Step 5: Solve for x
    x = 335,284.38/488.08
  6. Step 6: Final answer
    x = 686.95

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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.