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Finding the Fourth Proportional to 531.30, 797.01 and 206.70

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Solution

The fourth proportional to 531.30, 797.01 and 206.70 is: 310.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.30 : 797.01 = 206.70 : x
  2. Step 2: Convert to fraction form
    531.30/797.01 = 206.70/x
  3. Step 3: Cross multiply
    531.30x = 797.01 × 206.70
  4. Step 4: Simplify right side
    531.30x = 164,741.97
  5. Step 5: Solve for x
    x = 164,741.97/531.30
  6. Step 6: Final answer
    x = 310.07

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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.