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Finding the Fourth Proportional to 429.29, 643.92 and 234.24

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Solution

The fourth proportional to 429.29, 643.92 and 234.24 is: 351.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.29 : 643.92 = 234.24 : x
  2. Step 2: Convert to fraction form
    429.29/643.92 = 234.24/x
  3. Step 3: Cross multiply
    429.29x = 643.92 × 234.24
  4. Step 4: Simplify right side
    429.29x = 150,831.82
  5. Step 5: Solve for x
    x = 150,831.82/429.29
  6. Step 6: Final answer
    x = 351.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.