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Finding the Fourth Proportional to 542.96, 749.66 and 418.42

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Solution

The fourth proportional to 542.96, 749.66 and 418.42 is: 577.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.96 : 749.66 = 418.42 : x
  2. Step 2: Convert to fraction form
    542.96/749.66 = 418.42/x
  3. Step 3: Cross multiply
    542.96x = 749.66 × 418.42
  4. Step 4: Simplify right side
    542.96x = 313,672.74
  5. Step 5: Solve for x
    x = 313,672.74/542.96
  6. Step 6: Final answer
    x = 577.71

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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.