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Finding the Fourth Proportional to 294.10, 440.21 and 266.41

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Solution

The fourth proportional to 294.10, 440.21 and 266.41 is: 398.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.10 : 440.21 = 266.41 : x
  2. Step 2: Convert to fraction form
    294.10/440.21 = 266.41/x
  3. Step 3: Cross multiply
    294.10x = 440.21 × 266.41
  4. Step 4: Simplify right side
    294.10x = 117,275.01
  5. Step 5: Solve for x
    x = 117,275.01/294.10
  6. Step 6: Final answer
    x = 398.76

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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.