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Finding the Fourth Proportional to 458.14, 687.21 and 366.40

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Solution

The fourth proportional to 458.14, 687.21 and 366.40 is: 549.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.14 : 687.21 = 366.40 : x
  2. Step 2: Convert to fraction form
    458.14/687.21 = 366.40/x
  3. Step 3: Cross multiply
    458.14x = 687.21 × 366.40
  4. Step 4: Simplify right side
    458.14x = 251,791.91
  5. Step 5: Solve for x
    x = 251,791.91/458.14
  6. Step 6: Final answer
    x = 549.60

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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.