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Finding the Fourth Proportional to 416.50, 574.81 and 232.50

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Solution

The fourth proportional to 416.50, 574.81 and 232.50 is: 320.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.50 : 574.81 = 232.50 : x
  2. Step 2: Convert to fraction form
    416.50/574.81 = 232.50/x
  3. Step 3: Cross multiply
    416.50x = 574.81 × 232.50
  4. Step 4: Simplify right side
    416.50x = 133,643.33
  5. Step 5: Solve for x
    x = 133,643.33/416.50
  6. Step 6: Final answer
    x = 320.87

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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.