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Finding the Fourth Proportional to 429.50, 592.72 and 233.02

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Solution

The fourth proportional to 429.50, 592.72 and 233.02 is: 321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.50 : 592.72 = 233.02 : x
  2. Step 2: Convert to fraction form
    429.50/592.72 = 233.02/x
  3. Step 3: Cross multiply
    429.50x = 592.72 × 233.02
  4. Step 4: Simplify right side
    429.50x = 138,111.49
  5. Step 5: Solve for x
    x = 138,111.49/429.50
  6. Step 6: Final answer
    x = 321.56

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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.