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Finding the Fourth Proportional to 552.21, 761.76 and 330.75

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Solution

The fourth proportional to 552.21, 761.76 and 330.75 is: 456.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.21 : 761.76 = 330.75 : x
  2. Step 2: Convert to fraction form
    552.21/761.76 = 330.75/x
  3. Step 3: Cross multiply
    552.21x = 761.76 × 330.75
  4. Step 4: Simplify right side
    552.21x = 251,952.12
  5. Step 5: Solve for x
    x = 251,952.12/552.21
  6. Step 6: Final answer
    x = 456.26

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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.