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Finding the Fourth Proportional to 535.44, 738.80 and 314.27

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Solution

The fourth proportional to 535.44, 738.80 and 314.27 is: 433.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.44 : 738.80 = 314.27 : x
  2. Step 2: Convert to fraction form
    535.44/738.80 = 314.27/x
  3. Step 3: Cross multiply
    535.44x = 738.80 × 314.27
  4. Step 4: Simplify right side
    535.44x = 232,177.41
  5. Step 5: Solve for x
    x = 232,177.41/535.44
  6. Step 6: Final answer
    x = 433.62

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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.