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Finding the Fourth Proportional to 535.32, 738.59 and 314.28

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Solution

The fourth proportional to 535.32, 738.59 and 314.28 is: 433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.32 : 738.59 = 314.28 : x
  2. Step 2: Convert to fraction form
    535.32/738.59 = 314.28/x
  3. Step 3: Cross multiply
    535.32x = 738.59 × 314.28
  4. Step 4: Simplify right side
    535.32x = 232,122.49
  5. Step 5: Solve for x
    x = 232,122.49/535.32
  6. Step 6: Final answer
    x = 433.61

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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.