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Finding the Fourth Proportional to 431.74, 595.83 and 245.22

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Solution

The fourth proportional to 431.74, 595.83 and 245.22 is: 338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.74 : 595.83 = 245.22 : x
  2. Step 2: Convert to fraction form
    431.74/595.83 = 245.22/x
  3. Step 3: Cross multiply
    431.74x = 595.83 × 245.22
  4. Step 4: Simplify right side
    431.74x = 146,109.43
  5. Step 5: Solve for x
    x = 146,109.43/431.74
  6. Step 6: Final answer
    x = 338.42

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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.