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Finding the Fourth Proportional to 401.50, 602.07 and 206.38

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Solution

The fourth proportional to 401.50, 602.07 and 206.38 is: 309.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.50 : 602.07 = 206.38 : x
  2. Step 2: Convert to fraction form
    401.50/602.07 = 206.38/x
  3. Step 3: Cross multiply
    401.50x = 602.07 × 206.38
  4. Step 4: Simplify right side
    401.50x = 124,255.21
  5. Step 5: Solve for x
    x = 124,255.21/401.50
  6. Step 6: Final answer
    x = 309.48

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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.