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Finding the Fourth Proportional to 401.42, 601.63 and 206.15

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Solution

The fourth proportional to 401.42, 601.63 and 206.15 is: 308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.42 : 601.63 = 206.15 : x
  2. Step 2: Convert to fraction form
    401.42/601.63 = 206.15/x
  3. Step 3: Cross multiply
    401.42x = 601.63 × 206.15
  4. Step 4: Simplify right side
    401.42x = 124,022.50
  5. Step 5: Solve for x
    x = 124,022.50/401.42
  6. Step 6: Final answer
    x = 308.96

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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.