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Finding the Fourth Proportional to 535.48, 738.97 and 314.44

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Solution

The fourth proportional to 535.48, 738.97 and 314.44 is: 433.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.48 : 738.97 = 314.44 : x
  2. Step 2: Convert to fraction form
    535.48/738.97 = 314.44/x
  3. Step 3: Cross multiply
    535.48x = 738.97 × 314.44
  4. Step 4: Simplify right side
    535.48x = 232,361.73
  5. Step 5: Solve for x
    x = 232,361.73/535.48
  6. Step 6: Final answer
    x = 433.93

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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.