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Finding the Fourth Proportional to 532.98, 799.59 and 208.23

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Solution

The fourth proportional to 532.98, 799.59 and 208.23 is: 312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.98 : 799.59 = 208.23 : x
  2. Step 2: Convert to fraction form
    532.98/799.59 = 208.23/x
  3. Step 3: Cross multiply
    532.98x = 799.59 × 208.23
  4. Step 4: Simplify right side
    532.98x = 166,498.63
  5. Step 5: Solve for x
    x = 166,498.63/532.98
  6. Step 6: Final answer
    x = 312.39

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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.