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Finding the Fourth Proportional to 535.33, 738.77 and 314.29

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Solution

The fourth proportional to 535.33, 738.77 and 314.29 is: 433.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.33 : 738.77 = 314.29 : x
  2. Step 2: Convert to fraction form
    535.33/738.77 = 314.29/x
  3. Step 3: Cross multiply
    535.33x = 738.77 × 314.29
  4. Step 4: Simplify right side
    535.33x = 232,188.02
  5. Step 5: Solve for x
    x = 232,188.02/535.33
  6. Step 6: Final answer
    x = 433.73

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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.