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Finding the Fourth Proportional to 431.75, 595.78 and 245.25

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Solution

The fourth proportional to 431.75, 595.78 and 245.25 is: 338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.75 : 595.78 = 245.25 : x
  2. Step 2: Convert to fraction form
    431.75/595.78 = 245.25/x
  3. Step 3: Cross multiply
    431.75x = 595.78 × 245.25
  4. Step 4: Simplify right side
    431.75x = 146,113.82
  5. Step 5: Solve for x
    x = 146,113.82/431.75
  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.