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Finding the Fourth Proportional to 431.10, 590.85 and 426.24

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Solution

The fourth proportional to 431.10, 590.85 and 426.24 is: 584.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.10 : 590.85 = 426.24 : x
  2. Step 2: Convert to fraction form
    431.10/590.85 = 426.24/x
  3. Step 3: Cross multiply
    431.10x = 590.85 × 426.24
  4. Step 4: Simplify right side
    431.10x = 251,843.90
  5. Step 5: Solve for x
    x = 251,843.90/431.10
  6. Step 6: Final answer
    x = 584.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.