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Finding the Fourth Proportional to 552.16, 761.88 and 331.06

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Solution

The fourth proportional to 552.16, 761.88 and 331.06 is: 456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.16 : 761.88 = 331.06 : x
  2. Step 2: Convert to fraction form
    552.16/761.88 = 331.06/x
  3. Step 3: Cross multiply
    552.16x = 761.88 × 331.06
  4. Step 4: Simplify right side
    552.16x = 252,227.99
  5. Step 5: Solve for x
    x = 252,227.99/552.16
  6. Step 6: Final answer
    x = 456.80

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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.