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Finding the Fourth Proportional to 416.37, 574.58 and 239.28

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Solution

The fourth proportional to 416.37, 574.58 and 239.28 is: 330.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.37 : 574.58 = 239.28 : x
  2. Step 2: Convert to fraction form
    416.37/574.58 = 239.28/x
  3. Step 3: Cross multiply
    416.37x = 574.58 × 239.28
  4. Step 4: Simplify right side
    416.37x = 137,485.50
  5. Step 5: Solve for x
    x = 137,485.50/416.37
  6. Step 6: Final answer
    x = 330.20

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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.