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Finding the Fourth Proportional to 531.28, 796.65 and 206.74

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Solution

The fourth proportional to 531.28, 796.65 and 206.74 is: 310.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.28 : 796.65 = 206.74 : x
  2. Step 2: Convert to fraction form
    531.28/796.65 = 206.74/x
  3. Step 3: Cross multiply
    531.28x = 796.65 × 206.74
  4. Step 4: Simplify right side
    531.28x = 164,699.42
  5. Step 5: Solve for x
    x = 164,699.42/531.28
  6. Step 6: Final answer
    x = 310.00

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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.