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Finding the Fourth Proportional to 429.27, 592.38 and 232.77

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Solution

The fourth proportional to 429.27, 592.38 and 232.77 is: 321.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.27 : 592.38 = 232.77 : x
  2. Step 2: Convert to fraction form
    429.27/592.38 = 232.77/x
  3. Step 3: Cross multiply
    429.27x = 592.38 × 232.77
  4. Step 4: Simplify right side
    429.27x = 137,890.51
  5. Step 5: Solve for x
    x = 137,890.51/429.27
  6. Step 6: Final answer
    x = 321.22

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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.