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Finding the Fourth Proportional to 427.99, 590.05 and 280.57

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Solution

The fourth proportional to 427.99, 590.05 and 280.57 is: 386.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.99 : 590.05 = 280.57 : x
  2. Step 2: Convert to fraction form
    427.99/590.05 = 280.57/x
  3. Step 3: Cross multiply
    427.99x = 590.05 × 280.57
  4. Step 4: Simplify right side
    427.99x = 165,550.33
  5. Step 5: Solve for x
    x = 165,550.33/427.99
  6. Step 6: Final answer
    x = 386.81

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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.