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Finding the Fourth Proportional to 590.13, 814.03 and 341.26

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Solution

The fourth proportional to 590.13, 814.03 and 341.26 is: 470.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.13 : 814.03 = 341.26 : x
  2. Step 2: Convert to fraction form
    590.13/814.03 = 341.26/x
  3. Step 3: Cross multiply
    590.13x = 814.03 × 341.26
  4. Step 4: Simplify right side
    590.13x = 277,792.99
  5. Step 5: Solve for x
    x = 277,792.99/590.13
  6. Step 6: Final answer
    x = 470.73

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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.