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Finding the Fourth Proportional to 535.13, 738.50 and 314.09

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Solution

The fourth proportional to 535.13, 738.50 and 314.09 is: 433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.13 : 738.50 = 314.09 : x
  2. Step 2: Convert to fraction form
    535.13/738.50 = 314.09/x
  3. Step 3: Cross multiply
    535.13x = 738.50 × 314.09
  4. Step 4: Simplify right side
    535.13x = 231,950.20
  5. Step 5: Solve for x
    x = 231,950.20/535.13
  6. Step 6: Final answer
    x = 433.45

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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.