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Finding the Fourth Proportional to 371.76, 558.72 and 274.56

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Solution

The fourth proportional to 371.76, 558.72 and 274.56 is: 412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.76 : 558.72 = 274.56 : x
  2. Step 2: Convert to fraction form
    371.76/558.72 = 274.56/x
  3. Step 3: Cross multiply
    371.76x = 558.72 × 274.56
  4. Step 4: Simplify right side
    371.76x = 153,402.16
  5. Step 5: Solve for x
    x = 153,402.16/371.76
  6. Step 6: Final answer
    x = 412.64

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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.