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Finding the Fourth Proportional to 532.63, 798.51 and 208.27

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Solution

The fourth proportional to 532.63, 798.51 and 208.27 is: 312.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.63 : 798.51 = 208.27 : x
  2. Step 2: Convert to fraction form
    532.63/798.51 = 208.27/x
  3. Step 3: Cross multiply
    532.63x = 798.51 × 208.27
  4. Step 4: Simplify right side
    532.63x = 166,305.68
  5. Step 5: Solve for x
    x = 166,305.68/532.63
  6. Step 6: Final answer
    x = 312.23

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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.