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Finding the Fourth Proportional to 510.24, 764.88 and 281.76

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Solution

The fourth proportional to 510.24, 764.88 and 281.76 is: 422.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.24 : 764.88 = 281.76 : x
  2. Step 2: Convert to fraction form
    510.24/764.88 = 281.76/x
  3. Step 3: Cross multiply
    510.24x = 764.88 × 281.76
  4. Step 4: Simplify right side
    510.24x = 215,512.59
  5. Step 5: Solve for x
    x = 215,512.59/510.24
  6. Step 6: Final answer
    x = 422.37

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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.