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Finding the Fourth Proportional to 406.46, 561.17 and 282.26

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Solution

The fourth proportional to 406.46, 561.17 and 282.26 is: 389.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.46 : 561.17 = 282.26 : x
  2. Step 2: Convert to fraction form
    406.46/561.17 = 282.26/x
  3. Step 3: Cross multiply
    406.46x = 561.17 × 282.26
  4. Step 4: Simplify right side
    406.46x = 158,395.84
  5. Step 5: Solve for x
    x = 158,395.84/406.46
  6. Step 6: Final answer
    x = 389.70

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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.