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Finding the Fourth Proportional to 293.54, 438.20 and 232.04

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Solution

The fourth proportional to 293.54, 438.20 and 232.04 is: 346.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.54 : 438.20 = 232.04 : x
  2. Step 2: Convert to fraction form
    293.54/438.20 = 232.04/x
  3. Step 3: Cross multiply
    293.54x = 438.20 × 232.04
  4. Step 4: Simplify right side
    293.54x = 101,680.73
  5. Step 5: Solve for x
    x = 101,680.73/293.54
  6. Step 6: Final answer
    x = 346.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.