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Finding the Fourth Proportional to 531.39, 796.78 and 206.38

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Solution

The fourth proportional to 531.39, 796.78 and 206.38 is: 309.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.39 : 796.78 = 206.38 : x
  2. Step 2: Convert to fraction form
    531.39/796.78 = 206.38/x
  3. Step 3: Cross multiply
    531.39x = 796.78 × 206.38
  4. Step 4: Simplify right side
    531.39x = 164,436.95
  5. Step 5: Solve for x
    x = 164,436.95/531.39
  6. Step 6: Final answer
    x = 309.45

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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.