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Finding the Fourth Proportional to 416.88, 574.97 and 284.18

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Solution

The fourth proportional to 416.88, 574.97 and 284.18 is: 391.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.88 : 574.97 = 284.18 : x
  2. Step 2: Convert to fraction form
    416.88/574.97 = 284.18/x
  3. Step 3: Cross multiply
    416.88x = 574.97 × 284.18
  4. Step 4: Simplify right side
    416.88x = 163,390.68
  5. Step 5: Solve for x
    x = 163,390.68/416.88
  6. Step 6: Final answer
    x = 391.94

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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.