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Finding the Fourth Proportional to 400.96, 601.46 and 206.08

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Solution

The fourth proportional to 400.96, 601.46 and 206.08 is: 309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.96 : 601.46 = 206.08 : x
  2. Step 2: Convert to fraction form
    400.96/601.46 = 206.08/x
  3. Step 3: Cross multiply
    400.96x = 601.46 × 206.08
  4. Step 4: Simplify right side
    400.96x = 123,948.88
  5. Step 5: Solve for x
    x = 123,948.88/400.96
  6. Step 6: Final answer
    x = 309.13

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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.