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Finding the Fourth Proportional to 501.28, 752.08 and 227.24

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Solution

The fourth proportional to 501.28, 752.08 and 227.24 is: 340.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.28 : 752.08 = 227.24 : x
  2. Step 2: Convert to fraction form
    501.28/752.08 = 227.24/x
  3. Step 3: Cross multiply
    501.28x = 752.08 × 227.24
  4. Step 4: Simplify right side
    501.28x = 170,902.66
  5. Step 5: Solve for x
    x = 170,902.66/501.28
  6. Step 6: Final answer
    x = 340.93

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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.