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Finding the Fourth Proportional to 456.48, 685.31 and 391.90

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Solution

The fourth proportional to 456.48, 685.31 and 391.90 is: 588.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.48 : 685.31 = 391.90 : x
  2. Step 2: Convert to fraction form
    456.48/685.31 = 391.90/x
  3. Step 3: Cross multiply
    456.48x = 685.31 × 391.90
  4. Step 4: Simplify right side
    456.48x = 268,570.88
  5. Step 5: Solve for x
    x = 268,570.88/456.48
  6. Step 6: Final answer
    x = 588.35

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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.