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Finding the Fourth Proportional to 532.86, 798.97 and 208.16

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Solution

The fourth proportional to 532.86, 798.97 and 208.16 is: 312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.86 : 798.97 = 208.16 : x
  2. Step 2: Convert to fraction form
    532.86/798.97 = 208.16/x
  3. Step 3: Cross multiply
    532.86x = 798.97 × 208.16
  4. Step 4: Simplify right side
    532.86x = 166,313.60
  5. Step 5: Solve for x
    x = 166,313.60/532.86
  6. Step 6: Final answer
    x = 312.11

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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.