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Finding the Fourth Proportional to 456.45, 630.14 and 331.89

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Solution

The fourth proportional to 456.45, 630.14 and 331.89 is: 458.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.45 : 630.14 = 331.89 : x
  2. Step 2: Convert to fraction form
    456.45/630.14 = 331.89/x
  3. Step 3: Cross multiply
    456.45x = 630.14 × 331.89
  4. Step 4: Simplify right side
    456.45x = 209,137.16
  5. Step 5: Solve for x
    x = 209,137.16/456.45
  6. Step 6: Final answer
    x = 458.18

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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.