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Finding the Fourth Proportional to 542.85, 749.48 and 418.29

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Solution

The fourth proportional to 542.85, 749.48 and 418.29 is: 577.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.85 : 749.48 = 418.29 : x
  2. Step 2: Convert to fraction form
    542.85/749.48 = 418.29/x
  3. Step 3: Cross multiply
    542.85x = 749.48 × 418.29
  4. Step 4: Simplify right side
    542.85x = 313,499.99
  5. Step 5: Solve for x
    x = 313,499.99/542.85
  6. Step 6: Final answer
    x = 577.51

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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.