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Finding the Fourth Proportional to 294.76, 443.92 and 266.24

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Solution

The fourth proportional to 294.76, 443.92 and 266.24 is: 400.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.76 : 443.92 = 266.24 : x
  2. Step 2: Convert to fraction form
    294.76/443.92 = 266.24/x
  3. Step 3: Cross multiply
    294.76x = 443.92 × 266.24
  4. Step 4: Simplify right side
    294.76x = 118,189.26
  5. Step 5: Solve for x
    x = 118,189.26/294.76
  6. Step 6: Final answer
    x = 400.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.