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Finding the Fourth Proportional to 645.98, 891.81 and 447.10

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Solution

The fourth proportional to 645.98, 891.81 and 447.10 is: 617.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.98 : 891.81 = 447.10 : x
  2. Step 2: Convert to fraction form
    645.98/891.81 = 447.10/x
  3. Step 3: Cross multiply
    645.98x = 891.81 × 447.10
  4. Step 4: Simplify right side
    645.98x = 398,726.02
  5. Step 5: Solve for x
    x = 398,726.02/645.98
  6. Step 6: Final answer
    x = 617.25

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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.