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Finding the Fourth Proportional to 552.76, 762.90 and 421.52

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Solution

The fourth proportional to 552.76, 762.90 and 421.52 is: 581.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.76 : 762.90 = 421.52 : x
  2. Step 2: Convert to fraction form
    552.76/762.90 = 421.52/x
  3. Step 3: Cross multiply
    552.76x = 762.90 × 421.52
  4. Step 4: Simplify right side
    552.76x = 321,577.61
  5. Step 5: Solve for x
    x = 321,577.61/552.76
  6. Step 6: Final answer
    x = 581.77

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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.