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Finding the Fourth Proportional to 416.94, 574.86 and 318.54

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Solution

The fourth proportional to 416.94, 574.86 and 318.54 is: 439.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.94 : 574.86 = 318.54 : x
  2. Step 2: Convert to fraction form
    416.94/574.86 = 318.54/x
  3. Step 3: Cross multiply
    416.94x = 574.86 × 318.54
  4. Step 4: Simplify right side
    416.94x = 183,115.90
  5. Step 5: Solve for x
    x = 183,115.90/416.94
  6. Step 6: Final answer
    x = 439.19

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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.