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Finding the Fourth Proportional to 543.21, 748.85 and 387.69

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Solution

The fourth proportional to 543.21, 748.85 and 387.69 is: 534.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.21 : 748.85 = 387.69 : x
  2. Step 2: Convert to fraction form
    543.21/748.85 = 387.69/x
  3. Step 3: Cross multiply
    543.21x = 748.85 × 387.69
  4. Step 4: Simplify right side
    543.21x = 290,320.69
  5. Step 5: Solve for x
    x = 290,320.69/543.21
  6. Step 6: Final answer
    x = 534.45

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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.