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Finding the Fourth Proportional to 590.08, 814.42 and 341.56

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Solution

The fourth proportional to 590.08, 814.42 and 341.56 is: 471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.08 : 814.42 = 341.56 : x
  2. Step 2: Convert to fraction form
    590.08/814.42 = 341.56/x
  3. Step 3: Cross multiply
    590.08x = 814.42 × 341.56
  4. Step 4: Simplify right side
    590.08x = 278,173.30
  5. Step 5: Solve for x
    x = 278,173.30/590.08
  6. Step 6: Final answer
    x = 471.42

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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.