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Finding the Fourth Proportional to 456.62, 628.55 and 398.30

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Solution

The fourth proportional to 456.62, 628.55 and 398.30 is: 548.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.62 : 628.55 = 398.30 : x
  2. Step 2: Convert to fraction form
    456.62/628.55 = 398.30/x
  3. Step 3: Cross multiply
    456.62x = 628.55 × 398.30
  4. Step 4: Simplify right side
    456.62x = 250,346.33
  5. Step 5: Solve for x
    x = 250,346.33/456.62
  6. Step 6: Final answer
    x = 548.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.