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Finding the Fourth Proportional to 429.16, 592.24 and 232.67

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Solution

The fourth proportional to 429.16, 592.24 and 232.67 is: 321.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.16 : 592.24 = 232.67 : x
  2. Step 2: Convert to fraction form
    429.16/592.24 = 232.67/x
  3. Step 3: Cross multiply
    429.16x = 592.24 × 232.67
  4. Step 4: Simplify right side
    429.16x = 137,797.26
  5. Step 5: Solve for x
    x = 137,797.26/429.16
  6. Step 6: Final answer
    x = 321.09

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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.