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Finding the Fourth Proportional to 543.17, 748.83 and 343.90

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Solution

The fourth proportional to 543.17, 748.83 and 343.90 is: 474.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.17 : 748.83 = 343.90 : x
  2. Step 2: Convert to fraction form
    543.17/748.83 = 343.90/x
  3. Step 3: Cross multiply
    543.17x = 748.83 × 343.90
  4. Step 4: Simplify right side
    543.17x = 257,522.64
  5. Step 5: Solve for x
    x = 257,522.64/543.17
  6. Step 6: Final answer
    x = 474.11

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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.