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Finding the Fourth Proportional to 532.64, 798.89 and 208.24

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Solution

The fourth proportional to 532.64, 798.89 and 208.24 is: 312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.64 : 798.89 = 208.24 : x
  2. Step 2: Convert to fraction form
    532.64/798.89 = 208.24/x
  3. Step 3: Cross multiply
    532.64x = 798.89 × 208.24
  4. Step 4: Simplify right side
    532.64x = 166,357.38
  5. Step 5: Solve for x
    x = 166,357.38/532.64
  6. Step 6: Final answer
    x = 312.33

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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.