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Finding the Fourth Proportional to 641.21, 884.36 and 414.01

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Solution

The fourth proportional to 641.21, 884.36 and 414.01 is: 571.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.21 : 884.36 = 414.01 : x
  2. Step 2: Convert to fraction form
    641.21/884.36 = 414.01/x
  3. Step 3: Cross multiply
    641.21x = 884.36 × 414.01
  4. Step 4: Simplify right side
    641.21x = 366,132.71
  5. Step 5: Solve for x
    x = 366,132.71/641.21
  6. Step 6: Final answer
    x = 571.01

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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.