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Finding the Fourth Proportional to 401.68, 601.74 and 208.84

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Solution

The fourth proportional to 401.68, 601.74 and 208.84 is: 312.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.68 : 601.74 = 208.84 : x
  2. Step 2: Convert to fraction form
    401.68/601.74 = 208.84/x
  3. Step 3: Cross multiply
    401.68x = 601.74 × 208.84
  4. Step 4: Simplify right side
    401.68x = 125,667.38
  5. Step 5: Solve for x
    x = 125,667.38/401.68
  6. Step 6: Final answer
    x = 312.85

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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.