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Finding the Fourth Proportional to 618.74, 853.84 and 535.82

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Solution

The fourth proportional to 618.74, 853.84 and 535.82 is: 739.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.74 : 853.84 = 535.82 : x
  2. Step 2: Convert to fraction form
    618.74/853.84 = 535.82/x
  3. Step 3: Cross multiply
    618.74x = 853.84 × 535.82
  4. Step 4: Simplify right side
    618.74x = 457,500.95
  5. Step 5: Solve for x
    x = 457,500.95/618.74
  6. Step 6: Final answer
    x = 739.41

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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.