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Finding the Fourth Proportional to 532.74, 799.21 and 208.09

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Solution

The fourth proportional to 532.74, 799.21 and 208.09 is: 312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.74 : 799.21 = 208.09 : x
  2. Step 2: Convert to fraction form
    532.74/799.21 = 208.09/x
  3. Step 3: Cross multiply
    532.74x = 799.21 × 208.09
  4. Step 4: Simplify right side
    532.74x = 166,302.57
  5. Step 5: Solve for x
    x = 166,302.57/532.74
  6. Step 6: Final answer
    x = 312.17

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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.