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Finding the Fourth Proportional to 590.14, 814.37 and 341.47

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Solution

The fourth proportional to 590.14, 814.37 and 341.47 is: 471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.14 : 814.37 = 341.47 : x
  2. Step 2: Convert to fraction form
    590.14/814.37 = 341.47/x
  3. Step 3: Cross multiply
    590.14x = 814.37 × 341.47
  4. Step 4: Simplify right side
    590.14x = 278,082.92
  5. Step 5: Solve for x
    x = 278,082.92/590.14
  6. Step 6: Final answer
    x = 471.22

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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.