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Finding the Fourth Proportional to 294.52, 443.74 and 266.76

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Solution

The fourth proportional to 294.52, 443.74 and 266.76 is: 401.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.52 : 443.74 = 266.76 : x
  2. Step 2: Convert to fraction form
    294.52/443.74 = 266.76/x
  3. Step 3: Cross multiply
    294.52x = 443.74 × 266.76
  4. Step 4: Simplify right side
    294.52x = 118,372.08
  5. Step 5: Solve for x
    x = 118,372.08/294.52
  6. Step 6: Final answer
    x = 401.92

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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.