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Finding the Fourth Proportional to 501.70, 752.84 and 227.92

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Solution

The fourth proportional to 501.70, 752.84 and 227.92 is: 342.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.70 : 752.84 = 227.92 : x
  2. Step 2: Convert to fraction form
    501.70/752.84 = 227.92/x
  3. Step 3: Cross multiply
    501.70x = 752.84 × 227.92
  4. Step 4: Simplify right side
    501.70x = 171,587.29
  5. Step 5: Solve for x
    x = 171,587.29/501.70
  6. Step 6: Final answer
    x = 342.01

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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.