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Finding the Fourth Proportional to 416.16, 574.08 and 298.08

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Solution

The fourth proportional to 416.16, 574.08 and 298.08 is: 411.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.16 : 574.08 = 298.08 : x
  2. Step 2: Convert to fraction form
    416.16/574.08 = 298.08/x
  3. Step 3: Cross multiply
    416.16x = 574.08 × 298.08
  4. Step 4: Simplify right side
    416.16x = 171,121.77
  5. Step 5: Solve for x
    x = 171,121.77/416.16
  6. Step 6: Final answer
    x = 411.19

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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.