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Finding the Fourth Proportional to 531.98, 798.27 and 207.30

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Solution

The fourth proportional to 531.98, 798.27 and 207.30 is: 311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.98 : 798.27 = 207.30 : x
  2. Step 2: Convert to fraction form
    531.98/798.27 = 207.30/x
  3. Step 3: Cross multiply
    531.98x = 798.27 × 207.30
  4. Step 4: Simplify right side
    531.98x = 165,480.33
  5. Step 5: Solve for x
    x = 165,480.33/531.98
  6. Step 6: Final answer
    x = 311.07

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