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Finding the Fourth Proportional to 421.26, 633.24 and 391.20

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Solution

The fourth proportional to 421.26, 633.24 and 391.20 is: 588.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.26 : 633.24 = 391.20 : x
  2. Step 2: Convert to fraction form
    421.26/633.24 = 391.20/x
  3. Step 3: Cross multiply
    421.26x = 633.24 × 391.20
  4. Step 4: Simplify right side
    421.26x = 247,723.49
  5. Step 5: Solve for x
    x = 247,723.49/421.26
  6. Step 6: Final answer
    x = 588.05

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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.