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Finding the Fourth Proportional to 371.42, 556.74 and 262.88

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Solution

The fourth proportional to 371.42, 556.74 and 262.88 is: 394.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.42 : 556.74 = 262.88 : x
  2. Step 2: Convert to fraction form
    371.42/556.74 = 262.88/x
  3. Step 3: Cross multiply
    371.42x = 556.74 × 262.88
  4. Step 4: Simplify right side
    371.42x = 146,355.81
  5. Step 5: Solve for x
    x = 146,355.81/371.42
  6. Step 6: Final answer
    x = 394.04

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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.