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Finding the Fourth Proportional to 542.60, 749.07 and 365.85

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Solution

The fourth proportional to 542.60, 749.07 and 365.85 is: 505.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.60 : 749.07 = 365.85 : x
  2. Step 2: Convert to fraction form
    542.60/749.07 = 365.85/x
  3. Step 3: Cross multiply
    542.60x = 749.07 × 365.85
  4. Step 4: Simplify right side
    542.60x = 274,047.26
  5. Step 5: Solve for x
    x = 274,047.26/542.60
  6. Step 6: Final answer
    x = 505.06

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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.