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Finding the Fourth Proportional to 416.46, 574.14 and 298.53

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Solution

The fourth proportional to 416.46, 574.14 and 298.53 is: 411.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.46 : 574.14 = 298.53 : x
  2. Step 2: Convert to fraction form
    416.46/574.14 = 298.53/x
  3. Step 3: Cross multiply
    416.46x = 574.14 × 298.53
  4. Step 4: Simplify right side
    416.46x = 171,398.01
  5. Step 5: Solve for x
    x = 171,398.01/416.46
  6. Step 6: Final answer
    x = 411.56

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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.