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Finding the Fourth Proportional to 332.07, 458.40 and 234.19

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Solution

The fourth proportional to 332.07, 458.40 and 234.19 is: 323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.07 : 458.40 = 234.19 : x
  2. Step 2: Convert to fraction form
    332.07/458.40 = 234.19/x
  3. Step 3: Cross multiply
    332.07x = 458.40 × 234.19
  4. Step 4: Simplify right side
    332.07x = 107,352.70
  5. Step 5: Solve for x
    x = 107,352.70/332.07
  6. Step 6: Final answer
    x = 323.28

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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.