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Finding the Fourth Proportional to 416.31, 574.64 and 268.94

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Solution

The fourth proportional to 416.31, 574.64 and 268.94 is: 371.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.31 : 574.64 = 268.94 : x
  2. Step 2: Convert to fraction form
    416.31/574.64 = 268.94/x
  3. Step 3: Cross multiply
    416.31x = 574.64 × 268.94
  4. Step 4: Simplify right side
    416.31x = 154,543.68
  5. Step 5: Solve for x
    x = 154,543.68/416.31
  6. Step 6: Final answer
    x = 371.22

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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.