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Finding the Fourth Proportional to 414.06, 571.14 and 248.16

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Solution

The fourth proportional to 414.06, 571.14 and 248.16 is: 342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.06 : 571.14 = 248.16 : x
  2. Step 2: Convert to fraction form
    414.06/571.14 = 248.16/x
  3. Step 3: Cross multiply
    414.06x = 571.14 × 248.16
  4. Step 4: Simplify right side
    414.06x = 141,734.10
  5. Step 5: Solve for x
    x = 141,734.10/414.06
  6. Step 6: Final answer
    x = 342.30

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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.