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Finding the Fourth Proportional to 416.28, 573.76 and 285.04

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Solution

The fourth proportional to 416.28, 573.76 and 285.04 is: 392.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.28 : 573.76 = 285.04 : x
  2. Step 2: Convert to fraction form
    416.28/573.76 = 285.04/x
  3. Step 3: Cross multiply
    416.28x = 573.76 × 285.04
  4. Step 4: Simplify right side
    416.28x = 163,544.55
  5. Step 5: Solve for x
    x = 163,544.55/416.28
  6. Step 6: Final answer
    x = 392.87

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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.