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Finding the Fourth Proportional to 668.11, 922.49 and 432.20

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Solution

The fourth proportional to 668.11, 922.49 and 432.20 is: 596.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.11 : 922.49 = 432.20 : x
  2. Step 2: Convert to fraction form
    668.11/922.49 = 432.20/x
  3. Step 3: Cross multiply
    668.11x = 922.49 × 432.20
  4. Step 4: Simplify right side
    668.11x = 398,700.18
  5. Step 5: Solve for x
    x = 398,700.18/668.11
  6. Step 6: Final answer
    x = 596.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.