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Finding the Fourth Proportional to 416.30, 574.49 and 261.02

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Solution

The fourth proportional to 416.30, 574.49 and 261.02 is: 360.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.30 : 574.49 = 261.02 : x
  2. Step 2: Convert to fraction form
    416.30/574.49 = 261.02/x
  3. Step 3: Cross multiply
    416.30x = 574.49 × 261.02
  4. Step 4: Simplify right side
    416.30x = 149,953.38
  5. Step 5: Solve for x
    x = 149,953.38/416.30
  6. Step 6: Final answer
    x = 360.21

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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.