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Finding the Fourth Proportional to 508.97, 764.95 and 422.86

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Solution

The fourth proportional to 508.97, 764.95 and 422.86 is: 635.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.97 : 764.95 = 422.86 : x
  2. Step 2: Convert to fraction form
    508.97/764.95 = 422.86/x
  3. Step 3: Cross multiply
    508.97x = 764.95 × 422.86
  4. Step 4: Simplify right side
    508.97x = 323,466.76
  5. Step 5: Solve for x
    x = 323,466.76/508.97
  6. Step 6: Final answer
    x = 635.53

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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.