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Finding the Fourth Proportional to 542.81, 749.70 and 367.85

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Solution

The fourth proportional to 542.81, 749.70 and 367.85 is: 508.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.81 : 749.70 = 367.85 : x
  2. Step 2: Convert to fraction form
    542.81/749.70 = 367.85/x
  3. Step 3: Cross multiply
    542.81x = 749.70 × 367.85
  4. Step 4: Simplify right side
    542.81x = 275,779.02
  5. Step 5: Solve for x
    x = 275,779.02/542.81
  6. Step 6: Final answer
    x = 508.06

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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.