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Finding the Fourth Proportional to 427.48, 590.57 and 280.46

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Solution

The fourth proportional to 427.48, 590.57 and 280.46 is: 387.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.48 : 590.57 = 280.46 : x
  2. Step 2: Convert to fraction form
    427.48/590.57 = 280.46/x
  3. Step 3: Cross multiply
    427.48x = 590.57 × 280.46
  4. Step 4: Simplify right side
    427.48x = 165,631.26
  5. Step 5: Solve for x
    x = 165,631.26/427.48
  6. Step 6: Final answer
    x = 387.46

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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.