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Finding the Fourth Proportional to 429.53, 592.75 and 233.04

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Solution

The fourth proportional to 429.53, 592.75 and 233.04 is: 321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.53 : 592.75 = 233.04 : x
  2. Step 2: Convert to fraction form
    429.53/592.75 = 233.04/x
  3. Step 3: Cross multiply
    429.53x = 592.75 × 233.04
  4. Step 4: Simplify right side
    429.53x = 138,130.33
  5. Step 5: Solve for x
    x = 138,130.33/429.53
  6. Step 6: Final answer
    x = 321.59

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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.