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Finding the Fourth Proportional to 429.89, 593.25 and 233.41

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Solution

The fourth proportional to 429.89, 593.25 and 233.41 is: 322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.89 : 593.25 = 233.41 : x
  2. Step 2: Convert to fraction form
    429.89/593.25 = 233.41/x
  3. Step 3: Cross multiply
    429.89x = 593.25 × 233.41
  4. Step 4: Simplify right side
    429.89x = 138,468.22
  5. Step 5: Solve for x
    x = 138,468.22/429.89
  6. Step 6: Final answer
    x = 322.10

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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.