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Finding the Fourth Proportional to 531.76, 797.76 and 207.12

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Solution

The fourth proportional to 531.76, 797.76 and 207.12 is: 310.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.76 : 797.76 = 207.12 : x
  2. Step 2: Convert to fraction form
    531.76/797.76 = 207.12/x
  3. Step 3: Cross multiply
    531.76x = 797.76 × 207.12
  4. Step 4: Simplify right side
    531.76x = 165,232.05
  5. Step 5: Solve for x
    x = 165,232.05/531.76
  6. Step 6: Final answer
    x = 310.73

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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.