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Finding the Fourth Proportional to 429.23, 592.33 and 232.74

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Solution

The fourth proportional to 429.23, 592.33 and 232.74 is: 321.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.23 : 592.33 = 232.74 : x
  2. Step 2: Convert to fraction form
    429.23/592.33 = 232.74/x
  3. Step 3: Cross multiply
    429.23x = 592.33 × 232.74
  4. Step 4: Simplify right side
    429.23x = 137,855.92
  5. Step 5: Solve for x
    x = 137,855.92/429.23
  6. Step 6: Final answer
    x = 321.17

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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.