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Finding the Fourth Proportional to 590.30, 814.52 and 341.57

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Solution

The fourth proportional to 590.30, 814.52 and 341.57 is: 471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.30 : 814.52 = 341.57 : x
  2. Step 2: Convert to fraction form
    590.30/814.52 = 341.57/x
  3. Step 3: Cross multiply
    590.30x = 814.52 × 341.57
  4. Step 4: Simplify right side
    590.30x = 278,209.82
  5. Step 5: Solve for x
    x = 278,209.82/590.30
  6. Step 6: Final answer
    x = 471.31

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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.