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Finding the Fourth Proportional to 421.23, 631.95 and 247.86

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Solution

The fourth proportional to 421.23, 631.95 and 247.86 is: 371.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.23 : 631.95 = 247.86 : x
  2. Step 2: Convert to fraction form
    421.23/631.95 = 247.86/x
  3. Step 3: Cross multiply
    421.23x = 631.95 × 247.86
  4. Step 4: Simplify right side
    421.23x = 156,635.13
  5. Step 5: Solve for x
    x = 156,635.13/421.23
  6. Step 6: Final answer
    x = 371.85

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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.