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Finding the Fourth Proportional to 416.46, 574.41 and 318.04

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Solution

The fourth proportional to 416.46, 574.41 and 318.04 is: 438.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.46 : 574.41 = 318.04 : x
  2. Step 2: Convert to fraction form
    416.46/574.41 = 318.04/x
  3. Step 3: Cross multiply
    416.46x = 574.41 × 318.04
  4. Step 4: Simplify right side
    416.46x = 182,685.36
  5. Step 5: Solve for x
    x = 182,685.36/416.46
  6. Step 6: Final answer
    x = 438.67

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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.