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Finding the Fourth Proportional to 531.65, 797.54 and 206.97

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Solution

The fourth proportional to 531.65, 797.54 and 206.97 is: 310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.65 : 797.54 = 206.97 : x
  2. Step 2: Convert to fraction form
    531.65/797.54 = 206.97/x
  3. Step 3: Cross multiply
    531.65x = 797.54 × 206.97
  4. Step 4: Simplify right side
    531.65x = 165,065.82
  5. Step 5: Solve for x
    x = 165,065.82/531.65
  6. Step 6: Final answer
    x = 310.48

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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.