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Finding the Fourth Proportional to 501.38, 752.08 and 270.46

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Solution

The fourth proportional to 501.38, 752.08 and 270.46 is: 405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.38 : 752.08 = 270.46 : x
  2. Step 2: Convert to fraction form
    501.38/752.08 = 270.46/x
  3. Step 3: Cross multiply
    501.38x = 752.08 × 270.46
  4. Step 4: Simplify right side
    501.38x = 203,407.56
  5. Step 5: Solve for x
    x = 203,407.56/501.38
  6. Step 6: Final answer
    x = 405.70

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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.