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Finding the Fourth Proportional to 293.28, 433.92 and 292.32

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Solution

The fourth proportional to 293.28, 433.92 and 292.32 is: 432.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.28 : 433.92 = 292.32 : x
  2. Step 2: Convert to fraction form
    293.28/433.92 = 292.32/x
  3. Step 3: Cross multiply
    293.28x = 433.92 × 292.32
  4. Step 4: Simplify right side
    293.28x = 126,843.49
  5. Step 5: Solve for x
    x = 126,843.49/293.28
  6. Step 6: Final answer
    x = 432.50

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.