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Finding the Fourth Proportional to 406.36, 560.19 and 281.83

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Solution

The fourth proportional to 406.36, 560.19 and 281.83 is: 388.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.36 : 560.19 = 281.83 : x
  2. Step 2: Convert to fraction form
    406.36/560.19 = 281.83/x
  3. Step 3: Cross multiply
    406.36x = 560.19 × 281.83
  4. Step 4: Simplify right side
    406.36x = 157,878.35
  5. Step 5: Solve for x
    x = 157,878.35/406.36
  6. Step 6: Final answer
    x = 388.52

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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.