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Finding the Fourth Proportional to 432.98, 648.42 and 422.02

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Solution

The fourth proportional to 432.98, 648.42 and 422.02 is: 632.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.98 : 648.42 = 422.02 : x
  2. Step 2: Convert to fraction form
    432.98/648.42 = 422.02/x
  3. Step 3: Cross multiply
    432.98x = 648.42 × 422.02
  4. Step 4: Simplify right side
    432.98x = 273,646.21
  5. Step 5: Solve for x
    x = 273,646.21/432.98
  6. Step 6: Final answer
    x = 632.01

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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.