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Finding the Fourth Proportional to 502.32, 752.78 and 227.77

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Solution

The fourth proportional to 502.32, 752.78 and 227.77 is: 341.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.32 : 752.78 = 227.77 : x
  2. Step 2: Convert to fraction form
    502.32/752.78 = 227.77/x
  3. Step 3: Cross multiply
    502.32x = 752.78 × 227.77
  4. Step 4: Simplify right side
    502.32x = 171,460.70
  5. Step 5: Solve for x
    x = 171,460.70/502.32
  6. Step 6: Final answer
    x = 341.34

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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.