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Finding the Fourth Proportional to 429.15, 592.23 and 232.66

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Solution

The fourth proportional to 429.15, 592.23 and 232.66 is: 321.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.15 : 592.23 = 232.66 : x
  2. Step 2: Convert to fraction form
    429.15/592.23 = 232.66/x
  3. Step 3: Cross multiply
    429.15x = 592.23 × 232.66
  4. Step 4: Simplify right side
    429.15x = 137,790.86
  5. Step 5: Solve for x
    x = 137,790.86/429.15
  6. Step 6: Final answer
    x = 321.08

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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.