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Finding the Fourth Proportional to 590.49, 814.78 and 341.85

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Solution

The fourth proportional to 590.49, 814.78 and 341.85 is: 471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.49 : 814.78 = 341.85 : x
  2. Step 2: Convert to fraction form
    590.49/814.78 = 341.85/x
  3. Step 3: Cross multiply
    590.49x = 814.78 × 341.85
  4. Step 4: Simplify right side
    590.49x = 278,532.54
  5. Step 5: Solve for x
    x = 278,532.54/590.49
  6. Step 6: Final answer
    x = 471.70

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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.