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Finding the Fourth Proportional to 501.53, 752.31 and 154.85

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Solution

The fourth proportional to 501.53, 752.31 and 154.85 is: 232.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.53 : 752.31 = 154.85 : x
  2. Step 2: Convert to fraction form
    501.53/752.31 = 154.85/x
  3. Step 3: Cross multiply
    501.53x = 752.31 × 154.85
  4. Step 4: Simplify right side
    501.53x = 116,495.46
  5. Step 5: Solve for x
    x = 116,495.46/501.53
  6. Step 6: Final answer
    x = 232.28

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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.