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Finding the Fourth Proportional to 501.98, 752.28 and 282.71

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Solution

The fourth proportional to 501.98, 752.28 and 282.71 is: 423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.98 : 752.28 = 282.71 : x
  2. Step 2: Convert to fraction form
    501.98/752.28 = 282.71/x
  3. Step 3: Cross multiply
    501.98x = 752.28 × 282.71
  4. Step 4: Simplify right side
    501.98x = 212,675.67
  5. Step 5: Solve for x
    x = 212,675.67/501.98
  6. Step 6: Final answer
    x = 423.68

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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.