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Finding the Fourth Proportional to 482.11, 723.06 and 208.06

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Solution

The fourth proportional to 482.11, 723.06 and 208.06 is: 312.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.11 : 723.06 = 208.06 : x
  2. Step 2: Convert to fraction form
    482.11/723.06 = 208.06/x
  3. Step 3: Cross multiply
    482.11x = 723.06 × 208.06
  4. Step 4: Simplify right side
    482.11x = 150,439.86
  5. Step 5: Solve for x
    x = 150,439.86/482.11
  6. Step 6: Final answer
    x = 312.04

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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.