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Finding the Fourth Proportional to 406.40, 559.84 and 281.82

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Solution

The fourth proportional to 406.40, 559.84 and 281.82 is: 388.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.40 : 559.84 = 281.82 : x
  2. Step 2: Convert to fraction form
    406.40/559.84 = 281.82/x
  3. Step 3: Cross multiply
    406.40x = 559.84 × 281.82
  4. Step 4: Simplify right side
    406.40x = 157,774.11
  5. Step 5: Solve for x
    x = 157,774.11/406.40
  6. Step 6: Final answer
    x = 388.22

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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.