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Finding the Fourth Proportional to 401.36, 552.66 and 290.62

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Solution

The fourth proportional to 401.36, 552.66 and 290.62 is: 400.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.36 : 552.66 = 290.62 : x
  2. Step 2: Convert to fraction form
    401.36/552.66 = 290.62/x
  3. Step 3: Cross multiply
    401.36x = 552.66 × 290.62
  4. Step 4: Simplify right side
    401.36x = 160,614.05
  5. Step 5: Solve for x
    x = 160,614.05/401.36
  6. Step 6: Final answer
    x = 400.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.