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Finding the Fourth Proportional to 590.56, 814.92 and 341.83

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Solution

The fourth proportional to 590.56, 814.92 and 341.83 is: 471.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.56 : 814.92 = 341.83 : x
  2. Step 2: Convert to fraction form
    590.56/814.92 = 341.83/x
  3. Step 3: Cross multiply
    590.56x = 814.92 × 341.83
  4. Step 4: Simplify right side
    590.56x = 278,564.10
  5. Step 5: Solve for x
    x = 278,564.10/590.56
  6. Step 6: Final answer
    x = 471.69

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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.