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Finding the Fourth Proportional to 406.89, 561.33 and 290.25

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Solution

The fourth proportional to 406.89, 561.33 and 290.25 is: 400.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.89 : 561.33 = 290.25 : x
  2. Step 2: Convert to fraction form
    406.89/561.33 = 290.25/x
  3. Step 3: Cross multiply
    406.89x = 561.33 × 290.25
  4. Step 4: Simplify right side
    406.89x = 162,926.03
  5. Step 5: Solve for x
    x = 162,926.03/406.89
  6. Step 6: Final answer
    x = 400.42

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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.