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Finding the Fourth Proportional to 501.97, 753.28 and 213.41

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Solution

The fourth proportional to 501.97, 753.28 and 213.41 is: 320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.97 : 753.28 = 213.41 : x
  2. Step 2: Convert to fraction form
    501.97/753.28 = 213.41/x
  3. Step 3: Cross multiply
    501.97x = 753.28 × 213.41
  4. Step 4: Simplify right side
    501.97x = 160,752.65
  5. Step 5: Solve for x
    x = 160,752.65/501.97
  6. Step 6: Final answer
    x = 320.24

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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.