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Finding the Fourth Proportional to 500.27, 749.75 and 240.35

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Solution

The fourth proportional to 500.27, 749.75 and 240.35 is: 360.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.27 : 749.75 = 240.35 : x
  2. Step 2: Convert to fraction form
    500.27/749.75 = 240.35/x
  3. Step 3: Cross multiply
    500.27x = 749.75 × 240.35
  4. Step 4: Simplify right side
    500.27x = 180,201.21
  5. Step 5: Solve for x
    x = 180,201.21/500.27
  6. Step 6: Final answer
    x = 360.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.