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Finding the Fourth Proportional to 552.74, 762.32 and 428.18

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Solution

The fourth proportional to 552.74, 762.32 and 428.18 is: 590.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.74 : 762.32 = 428.18 : x
  2. Step 2: Convert to fraction form
    552.74/762.32 = 428.18/x
  3. Step 3: Cross multiply
    552.74x = 762.32 × 428.18
  4. Step 4: Simplify right side
    552.74x = 326,408.04
  5. Step 5: Solve for x
    x = 326,408.04/552.74
  6. Step 6: Final answer
    x = 590.53

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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.