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Finding the Fourth Proportional to 427.92, 590.24 and 311.28

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Solution

The fourth proportional to 427.92, 590.24 and 311.28 is: 429.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.92 : 590.24 = 311.28 : x
  2. Step 2: Convert to fraction form
    427.92/590.24 = 311.28/x
  3. Step 3: Cross multiply
    427.92x = 590.24 × 311.28
  4. Step 4: Simplify right side
    427.92x = 183,729.91
  5. Step 5: Solve for x
    x = 183,729.91/427.92
  6. Step 6: Final answer
    x = 429.36

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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.