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Finding the Fourth Proportional to 429.69, 592.97 and 233.20

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Solution

The fourth proportional to 429.69, 592.97 and 233.20 is: 321.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.69 : 592.97 = 233.20 : x
  2. Step 2: Convert to fraction form
    429.69/592.97 = 233.20/x
  3. Step 3: Cross multiply
    429.69x = 592.97 × 233.20
  4. Step 4: Simplify right side
    429.69x = 138,278.16
  5. Step 5: Solve for x
    x = 138,278.16/429.69
  6. Step 6: Final answer
    x = 321.81

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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.