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Finding the Fourth Proportional to 416.82, 575.39 and 282.26

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Solution

The fourth proportional to 416.82, 575.39 and 282.26 is: 389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.82 : 575.39 = 282.26 : x
  2. Step 2: Convert to fraction form
    416.82/575.39 = 282.26/x
  3. Step 3: Cross multiply
    416.82x = 575.39 × 282.26
  4. Step 4: Simplify right side
    416.82x = 162,410.67
  5. Step 5: Solve for x
    x = 162,410.67/416.82
  6. Step 6: Final answer
    x = 389.64

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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.