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Finding the Fourth Proportional to 532.89, 799.40 and 208.49

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Solution

The fourth proportional to 532.89, 799.40 and 208.49 is: 312.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.89 : 799.40 = 208.49 : x
  2. Step 2: Convert to fraction form
    532.89/799.40 = 208.49/x
  3. Step 3: Cross multiply
    532.89x = 799.40 × 208.49
  4. Step 4: Simplify right side
    532.89x = 166,663.43
  5. Step 5: Solve for x
    x = 166,663.43/532.89
  6. Step 6: Final answer
    x = 312.75

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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.