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Finding the Fourth Proportional to 531.36, 796.50 and 206.64

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Solution

The fourth proportional to 531.36, 796.50 and 206.64 is: 309.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.36 : 796.50 = 206.64 : x
  2. Step 2: Convert to fraction form
    531.36/796.50 = 206.64/x
  3. Step 3: Cross multiply
    531.36x = 796.50 × 206.64
  4. Step 4: Simplify right side
    531.36x = 164,588.76
  5. Step 5: Solve for x
    x = 164,588.76/531.36
  6. Step 6: Final answer
    x = 309.75

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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.