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Finding the Fourth Proportional to 427.52, 590.40 and 348.96

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Solution

The fourth proportional to 427.52, 590.40 and 348.96 is: 481.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.52 : 590.40 = 348.96 : x
  2. Step 2: Convert to fraction form
    427.52/590.40 = 348.96/x
  3. Step 3: Cross multiply
    427.52x = 590.40 × 348.96
  4. Step 4: Simplify right side
    427.52x = 206,025.98
  5. Step 5: Solve for x
    x = 206,025.98/427.52
  6. Step 6: Final answer
    x = 481.91

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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.