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Finding the Fourth Proportional to 416.66, 574.82 and 274.90

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Solution

The fourth proportional to 416.66, 574.82 and 274.90 is: 379.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.66 : 574.82 = 274.90 : x
  2. Step 2: Convert to fraction form
    416.66/574.82 = 274.90/x
  3. Step 3: Cross multiply
    416.66x = 574.82 × 274.90
  4. Step 4: Simplify right side
    416.66x = 158,018.02
  5. Step 5: Solve for x
    x = 158,018.02/416.66
  6. Step 6: Final answer
    x = 379.25

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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.