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Finding the Fourth Proportional to 531.24, 796.70 and 206.52

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Solution

The fourth proportional to 531.24, 796.70 and 206.52 is: 309.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.24 : 796.70 = 206.52 : x
  2. Step 2: Convert to fraction form
    531.24/796.70 = 206.52/x
  3. Step 3: Cross multiply
    531.24x = 796.70 × 206.52
  4. Step 4: Simplify right side
    531.24x = 164,534.48
  5. Step 5: Solve for x
    x = 164,534.48/531.24
  6. Step 6: Final answer
    x = 309.72

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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.