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Finding the Fourth Proportional to 429.68, 592.96 and 233.19

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Solution

The fourth proportional to 429.68, 592.96 and 233.19 is: 321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.68 : 592.96 = 233.19 : x
  2. Step 2: Convert to fraction form
    429.68/592.96 = 233.19/x
  3. Step 3: Cross multiply
    429.68x = 592.96 × 233.19
  4. Step 4: Simplify right side
    429.68x = 138,272.70
  5. Step 5: Solve for x
    x = 138,272.70/429.68
  6. Step 6: Final answer
    x = 321.80

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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.