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Finding the Fourth Proportional to 590.10, 814.26 and 341.37

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Solution

The fourth proportional to 590.10, 814.26 and 341.37 is: 471.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.10 : 814.26 = 341.37 : x
  2. Step 2: Convert to fraction form
    590.10/814.26 = 341.37/x
  3. Step 3: Cross multiply
    590.10x = 814.26 × 341.37
  4. Step 4: Simplify right side
    590.10x = 277,963.94
  5. Step 5: Solve for x
    x = 277,963.94/590.10
  6. Step 6: Final answer
    x = 471.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.