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Finding the Fourth Proportional to 416.62, 575 and 248.66

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Solution

The fourth proportional to 416.62, 575 and 248.66 is: 343.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.62 : 575 = 248.66 : x
  2. Step 2: Convert to fraction form
    416.62/575 = 248.66/x
  3. Step 3: Cross multiply
    416.62x = 575 × 248.66
  4. Step 4: Simplify right side
    416.62x = 142,979.50
  5. Step 5: Solve for x
    x = 142,979.50/416.62
  6. Step 6: Final answer
    x = 343.19

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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.