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Finding the Fourth Proportional to 543.24, 749.07 and 418.86

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Solution

The fourth proportional to 543.24, 749.07 and 418.86 is: 577.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.24 : 749.07 = 418.86 : x
  2. Step 2: Convert to fraction form
    543.24/749.07 = 418.86/x
  3. Step 3: Cross multiply
    543.24x = 749.07 × 418.86
  4. Step 4: Simplify right side
    543.24x = 313,755.46
  5. Step 5: Solve for x
    x = 313,755.46/543.24
  6. Step 6: Final answer
    x = 577.56

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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.