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Finding the Fourth Proportional to 458.20, 628.49 and 458.20

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Solution

The fourth proportional to 458.20, 628.49 and 458.20 is: 628.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.20 : 628.49 = 458.20 : x
  2. Step 2: Convert to fraction form
    458.20/628.49 = 458.20/x
  3. Step 3: Cross multiply
    458.20x = 628.49 × 458.20
  4. Step 4: Simplify right side
    458.20x = 287,974.12
  5. Step 5: Solve for x
    x = 287,974.12/458.20
  6. Step 6: Final answer
    x = 628.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.