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Finding the Fourth Proportional to 590.11, 814.29 and 341.41

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Solution

The fourth proportional to 590.11, 814.29 and 341.41 is: 471.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.11 : 814.29 = 341.41 : x
  2. Step 2: Convert to fraction form
    590.11/814.29 = 341.41/x
  3. Step 3: Cross multiply
    590.11x = 814.29 × 341.41
  4. Step 4: Simplify right side
    590.11x = 278,006.75
  5. Step 5: Solve for x
    x = 278,006.75/590.11
  6. Step 6: Final answer
    x = 471.11

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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.