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Finding the Fourth Proportional to 543.08, 748.26 and 454.24

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Solution

The fourth proportional to 543.08, 748.26 and 454.24 is: 625.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.08 : 748.26 = 454.24 : x
  2. Step 2: Convert to fraction form
    543.08/748.26 = 454.24/x
  3. Step 3: Cross multiply
    543.08x = 748.26 × 454.24
  4. Step 4: Simplify right side
    543.08x = 339,889.62
  5. Step 5: Solve for x
    x = 339,889.62/543.08
  6. Step 6: Final answer
    x = 625.86

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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.