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Finding the Fourth Proportional to 531.16, 796.84 and 206.36

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Solution

The fourth proportional to 531.16, 796.84 and 206.36 is: 309.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.16 : 796.84 = 206.36 : x
  2. Step 2: Convert to fraction form
    531.16/796.84 = 206.36/x
  3. Step 3: Cross multiply
    531.16x = 796.84 × 206.36
  4. Step 4: Simplify right side
    531.16x = 164,435.90
  5. Step 5: Solve for x
    x = 164,435.90/531.16
  6. Step 6: Final answer
    x = 309.58

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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.