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Finding the Fourth Proportional to 630.57, 944.45 and 447.41

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Solution

The fourth proportional to 630.57, 944.45 and 447.41 is: 670.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.57 : 944.45 = 447.41 : x
  2. Step 2: Convert to fraction form
    630.57/944.45 = 447.41/x
  3. Step 3: Cross multiply
    630.57x = 944.45 × 447.41
  4. Step 4: Simplify right side
    630.57x = 422,549.42
  5. Step 5: Solve for x
    x = 422,549.42/630.57
  6. Step 6: Final answer
    x = 670.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.