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Finding the Fourth Proportional to 294.44, 439.49 and 282.83

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Solution

The fourth proportional to 294.44, 439.49 and 282.83 is: 422.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.44 : 439.49 = 282.83 : x
  2. Step 2: Convert to fraction form
    294.44/439.49 = 282.83/x
  3. Step 3: Cross multiply
    294.44x = 439.49 × 282.83
  4. Step 4: Simplify right side
    294.44x = 124,299.47
  5. Step 5: Solve for x
    x = 124,299.47/294.44
  6. Step 6: Final answer
    x = 422.16

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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.