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Finding the Fourth Proportional to 289.16, 433.40 and 208.04

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Solution

The fourth proportional to 289.16, 433.40 and 208.04 is: 311.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.16 : 433.40 = 208.04 : x
  2. Step 2: Convert to fraction form
    289.16/433.40 = 208.04/x
  3. Step 3: Cross multiply
    289.16x = 433.40 × 208.04
  4. Step 4: Simplify right side
    289.16x = 90,164.54
  5. Step 5: Solve for x
    x = 90,164.54/289.16
  6. Step 6: Final answer
    x = 311.82

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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.