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Finding the Fourth Proportional to 293.74, 440.88 and 266.20

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Solution

The fourth proportional to 293.74, 440.88 and 266.20 is: 399.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.74 : 440.88 = 266.20 : x
  2. Step 2: Convert to fraction form
    293.74/440.88 = 266.20/x
  3. Step 3: Cross multiply
    293.74x = 440.88 × 266.20
  4. Step 4: Simplify right side
    293.74x = 117,362.26
  5. Step 5: Solve for x
    x = 117,362.26/293.74
  6. Step 6: Final answer
    x = 399.54

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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.