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Finding the Fourth Proportional to 427.86, 590.70 and 280.75

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Solution

The fourth proportional to 427.86, 590.70 and 280.75 is: 387.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.86 : 590.70 = 280.75 : x
  2. Step 2: Convert to fraction form
    427.86/590.70 = 280.75/x
  3. Step 3: Cross multiply
    427.86x = 590.70 × 280.75
  4. Step 4: Simplify right side
    427.86x = 165,841.92
  5. Step 5: Solve for x
    x = 165,841.92/427.86
  6. Step 6: Final answer
    x = 387.61

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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.