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Finding the Fourth Proportional to 675, 930.69 and 535.32

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Solution

The fourth proportional to 675, 930.69 and 535.32 is: 738.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    675 : 930.69 = 535.32 : x
  2. Step 2: Convert to fraction form
    675/930.69 = 535.32/x
  3. Step 3: Cross multiply
    675x = 930.69 × 535.32
  4. Step 4: Simplify right side
    675x = 498,216.97
  5. Step 5: Solve for x
    x = 498,216.97/675
  6. Step 6: Final answer
    x = 738.10

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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.