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Finding the Fourth Proportional to 429.13, 592.20 and 232.64

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Solution

The fourth proportional to 429.13, 592.20 and 232.64 is: 321.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.13 : 592.20 = 232.64 : x
  2. Step 2: Convert to fraction form
    429.13/592.20 = 232.64/x
  3. Step 3: Cross multiply
    429.13x = 592.20 × 232.64
  4. Step 4: Simplify right side
    429.13x = 137,770.89
  5. Step 5: Solve for x
    x = 137,770.89/429.13
  6. Step 6: Final answer
    x = 321.05

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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.