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Finding the Fourth Proportional to 535.20, 738.58 and 314.07

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Solution

The fourth proportional to 535.20, 738.58 and 314.07 is: 433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.20 : 738.58 = 314.07 : x
  2. Step 2: Convert to fraction form
    535.20/738.58 = 314.07/x
  3. Step 3: Cross multiply
    535.20x = 738.58 × 314.07
  4. Step 4: Simplify right side
    535.20x = 231,965.82
  5. Step 5: Solve for x
    x = 231,965.82/535.20
  6. Step 6: Final answer
    x = 433.42

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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.