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Finding the Fourth Proportional to 552.76, 762 and 421.54

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Solution

The fourth proportional to 552.76, 762 and 421.54 is: 581.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.76 : 762 = 421.54 : x
  2. Step 2: Convert to fraction form
    552.76/762 = 421.54/x
  3. Step 3: Cross multiply
    552.76x = 762 × 421.54
  4. Step 4: Simplify right side
    552.76x = 321,213.48
  5. Step 5: Solve for x
    x = 321,213.48/552.76
  6. Step 6: Final answer
    x = 581.11

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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.