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Finding the Fourth Proportional to 406.94, 561.84 and 282.56

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Solution

The fourth proportional to 406.94, 561.84 and 282.56 is: 390.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.94 : 561.84 = 282.56 : x
  2. Step 2: Convert to fraction form
    406.94/561.84 = 282.56/x
  3. Step 3: Cross multiply
    406.94x = 561.84 × 282.56
  4. Step 4: Simplify right side
    406.94x = 158,753.51
  5. Step 5: Solve for x
    x = 158,753.51/406.94
  6. Step 6: Final answer
    x = 390.12

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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.