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Finding the Fourth Proportional to 293.72, 441.38 and 282.92

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Solution

The fourth proportional to 293.72, 441.38 and 282.92 is: 425.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.72 : 441.38 = 282.92 : x
  2. Step 2: Convert to fraction form
    293.72/441.38 = 282.92/x
  3. Step 3: Cross multiply
    293.72x = 441.38 × 282.92
  4. Step 4: Simplify right side
    293.72x = 124,875.23
  5. Step 5: Solve for x
    x = 124,875.23/293.72
  6. Step 6: Final answer
    x = 425.15

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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.