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Finding the Fourth Proportional to 549.72, 823.59 and 458.28

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Solution

The fourth proportional to 549.72, 823.59 and 458.28 is: 686.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.72 : 823.59 = 458.28 : x
  2. Step 2: Convert to fraction form
    549.72/823.59 = 458.28/x
  3. Step 3: Cross multiply
    549.72x = 823.59 × 458.28
  4. Step 4: Simplify right side
    549.72x = 377,434.83
  5. Step 5: Solve for x
    x = 377,434.83/549.72
  6. Step 6: Final answer
    x = 686.59

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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.