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Finding the Fourth Proportional to 416.49, 574.37 and 283.65

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Solution

The fourth proportional to 416.49, 574.37 and 283.65 is: 391.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.49 : 574.37 = 283.65 : x
  2. Step 2: Convert to fraction form
    416.49/574.37 = 283.65/x
  3. Step 3: Cross multiply
    416.49x = 574.37 × 283.65
  4. Step 4: Simplify right side
    416.49x = 162,920.05
  5. Step 5: Solve for x
    x = 162,920.05/416.49
  6. Step 6: Final answer
    x = 391.17

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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.