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Finding the Fourth Proportional to 332.24, 458.36 and 234.06

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Solution

The fourth proportional to 332.24, 458.36 and 234.06 is: 322.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.24 : 458.36 = 234.06 : x
  2. Step 2: Convert to fraction form
    332.24/458.36 = 234.06/x
  3. Step 3: Cross multiply
    332.24x = 458.36 × 234.06
  4. Step 4: Simplify right side
    332.24x = 107,282.57
  5. Step 5: Solve for x
    x = 107,282.57/332.24
  6. Step 6: Final answer
    x = 322.91

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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.