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Finding the Fourth Proportional to 590.13, 814.36 and 341.43

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Solution

The fourth proportional to 590.13, 814.36 and 341.43 is: 471.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.13 : 814.36 = 341.43 : x
  2. Step 2: Convert to fraction form
    590.13/814.36 = 341.43/x
  3. Step 3: Cross multiply
    590.13x = 814.36 × 341.43
  4. Step 4: Simplify right side
    590.13x = 278,046.93
  5. Step 5: Solve for x
    x = 278,046.93/590.13
  6. Step 6: Final answer
    x = 471.16

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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.