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Finding the Fourth Proportional to 445.84, 672.10 and 416.12

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Solution

The fourth proportional to 445.84, 672.10 and 416.12 is: 627.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.84 : 672.10 = 416.12 : x
  2. Step 2: Convert to fraction form
    445.84/672.10 = 416.12/x
  3. Step 3: Cross multiply
    445.84x = 672.10 × 416.12
  4. Step 4: Simplify right side
    445.84x = 279,669.85
  5. Step 5: Solve for x
    x = 279,669.85/445.84
  6. Step 6: Final answer
    x = 627.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.