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Finding the Fourth Proportional to 537.66, 807.72 and 321.39

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Solution

The fourth proportional to 537.66, 807.72 and 321.39 is: 482.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.66 : 807.72 = 321.39 : x
  2. Step 2: Convert to fraction form
    537.66/807.72 = 321.39/x
  3. Step 3: Cross multiply
    537.66x = 807.72 × 321.39
  4. Step 4: Simplify right side
    537.66x = 259,593.13
  5. Step 5: Solve for x
    x = 259,593.13/537.66
  6. Step 6: Final answer
    x = 482.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.