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Finding the Fourth Proportional to 590.31, 814.43 and 341.59

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Solution

The fourth proportional to 590.31, 814.43 and 341.59 is: 471.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.31 : 814.43 = 341.59 : x
  2. Step 2: Convert to fraction form
    590.31/814.43 = 341.59/x
  3. Step 3: Cross multiply
    590.31x = 814.43 × 341.59
  4. Step 4: Simplify right side
    590.31x = 278,201.14
  5. Step 5: Solve for x
    x = 278,201.14/590.31
  6. Step 6: Final answer
    x = 471.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.