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Finding the Fourth Proportional to 427.32, 590.22 and 371.88

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Solution

The fourth proportional to 427.32, 590.22 and 371.88 is: 513.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.32 : 590.22 = 371.88 : x
  2. Step 2: Convert to fraction form
    427.32/590.22 = 371.88/x
  3. Step 3: Cross multiply
    427.32x = 590.22 × 371.88
  4. Step 4: Simplify right side
    427.32x = 219,491.01
  5. Step 5: Solve for x
    x = 219,491.01/427.32
  6. Step 6: Final answer
    x = 513.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.