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Finding the Fourth Proportional to 429.61, 592.86 and 233.12

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Solution

The fourth proportional to 429.61, 592.86 and 233.12 is: 321.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.61 : 592.86 = 233.12 : x
  2. Step 2: Convert to fraction form
    429.61/592.86 = 233.12/x
  3. Step 3: Cross multiply
    429.61x = 592.86 × 233.12
  4. Step 4: Simplify right side
    429.61x = 138,206.36
  5. Step 5: Solve for x
    x = 138,206.36/429.61
  6. Step 6: Final answer
    x = 321.71

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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.