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Finding the Fourth Proportional to 641.54, 884.46 and 420.14

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Solution

The fourth proportional to 641.54, 884.46 and 420.14 is: 579.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.54 : 884.46 = 420.14 : x
  2. Step 2: Convert to fraction form
    641.54/884.46 = 420.14/x
  3. Step 3: Cross multiply
    641.54x = 884.46 × 420.14
  4. Step 4: Simplify right side
    641.54x = 371,597.02
  5. Step 5: Solve for x
    x = 371,597.02/641.54
  6. Step 6: Final answer
    x = 579.23

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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.