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Finding the Fourth Proportional to 543.16, 748.38 and 387.64

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Solution

The fourth proportional to 543.16, 748.38 and 387.64 is: 534.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.16 : 748.38 = 387.64 : x
  2. Step 2: Convert to fraction form
    543.16/748.38 = 387.64/x
  3. Step 3: Cross multiply
    543.16x = 748.38 × 387.64
  4. Step 4: Simplify right side
    543.16x = 290,102.02
  5. Step 5: Solve for x
    x = 290,102.02/543.16
  6. Step 6: Final answer
    x = 534.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.