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Finding the Fourth Proportional to 416.52, 574.88 and 259.22

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Solution

The fourth proportional to 416.52, 574.88 and 259.22 is: 357.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.52 : 574.88 = 259.22 : x
  2. Step 2: Convert to fraction form
    416.52/574.88 = 259.22/x
  3. Step 3: Cross multiply
    416.52x = 574.88 × 259.22
  4. Step 4: Simplify right side
    416.52x = 149,020.53
  5. Step 5: Solve for x
    x = 149,020.53/416.52
  6. Step 6: Final answer
    x = 357.78

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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.