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Finding the Fourth Proportional to 641.24, 884.46 and 392.48

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Solution

The fourth proportional to 641.24, 884.46 and 392.48 is: 541.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.24 : 884.46 = 392.48 : x
  2. Step 2: Convert to fraction form
    641.24/884.46 = 392.48/x
  3. Step 3: Cross multiply
    641.24x = 884.46 × 392.48
  4. Step 4: Simplify right side
    641.24x = 347,132.86
  5. Step 5: Solve for x
    x = 347,132.86/641.24
  6. Step 6: Final answer
    x = 541.35

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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.