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Finding the Fourth Proportional to 416.54, 574.62 and 361.20

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Solution

The fourth proportional to 416.54, 574.62 and 361.20 is: 498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.54 : 574.62 = 361.20 : x
  2. Step 2: Convert to fraction form
    416.54/574.62 = 361.20/x
  3. Step 3: Cross multiply
    416.54x = 574.62 × 361.20
  4. Step 4: Simplify right side
    416.54x = 207,552.74
  5. Step 5: Solve for x
    x = 207,552.74/416.54
  6. Step 6: Final answer
    x = 498.28

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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.