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Finding the Fourth Proportional to 590.00, 814.23 and 341.39

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Solution

The fourth proportional to 590.00, 814.23 and 341.39 is: 471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.00 : 814.23 = 341.39 : x
  2. Step 2: Convert to fraction form
    590.00/814.23 = 341.39/x
  3. Step 3: Cross multiply
    590.00x = 814.23 × 341.39
  4. Step 4: Simplify right side
    590.00x = 277,972.02
  5. Step 5: Solve for x
    x = 277,972.02/590.00
  6. Step 6: Final answer
    x = 471.14

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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.