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Finding the Fourth Proportional to 535.41, 738.80 and 314.43

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Solution

The fourth proportional to 535.41, 738.80 and 314.43 is: 433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.41 : 738.80 = 314.43 : x
  2. Step 2: Convert to fraction form
    535.41/738.80 = 314.43/x
  3. Step 3: Cross multiply
    535.41x = 738.80 × 314.43
  4. Step 4: Simplify right side
    535.41x = 232,297.98
  5. Step 5: Solve for x
    x = 232,297.98/535.41
  6. Step 6: Final answer
    x = 433.87

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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.