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Finding the Fourth Proportional to 427.38, 590.15 and 309.83

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Solution

The fourth proportional to 427.38, 590.15 and 309.83 is: 427.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.38 : 590.15 = 309.83 : x
  2. Step 2: Convert to fraction form
    427.38/590.15 = 309.83/x
  3. Step 3: Cross multiply
    427.38x = 590.15 × 309.83
  4. Step 4: Simplify right side
    427.38x = 182,842.69
  5. Step 5: Solve for x
    x = 182,842.69/427.38
  6. Step 6: Final answer
    x = 427.83

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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.