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Finding the Fourth Proportional to 416.17, 574.17 and 261.01

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Solution

The fourth proportional to 416.17, 574.17 and 261.01 is: 360.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.17 : 574.17 = 261.01 : x
  2. Step 2: Convert to fraction form
    416.17/574.17 = 261.01/x
  3. Step 3: Cross multiply
    416.17x = 574.17 × 261.01
  4. Step 4: Simplify right side
    416.17x = 149,864.11
  5. Step 5: Solve for x
    x = 149,864.11/416.17
  6. Step 6: Final answer
    x = 360.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.