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Finding the Fourth Proportional to 429.06, 592.11 and 232.57

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Solution

The fourth proportional to 429.06, 592.11 and 232.57 is: 320.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.06 : 592.11 = 232.57 : x
  2. Step 2: Convert to fraction form
    429.06/592.11 = 232.57/x
  3. Step 3: Cross multiply
    429.06x = 592.11 × 232.57
  4. Step 4: Simplify right side
    429.06x = 137,705.86
  5. Step 5: Solve for x
    x = 137,705.86/429.06
  6. Step 6: Final answer
    x = 320.95

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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.