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Finding the Fourth Proportional to 535.32, 738.84 and 314.34

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Solution

The fourth proportional to 535.32, 738.84 and 314.34 is: 433.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.32 : 738.84 = 314.34 : x
  2. Step 2: Convert to fraction form
    535.32/738.84 = 314.34/x
  3. Step 3: Cross multiply
    535.32x = 738.84 × 314.34
  4. Step 4: Simplify right side
    535.32x = 232,246.97
  5. Step 5: Solve for x
    x = 232,246.97/535.32
  6. Step 6: Final answer
    x = 433.85

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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.