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Finding the Fourth Proportional to 633.44, 949.16 and 416.54

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Solution

The fourth proportional to 633.44, 949.16 and 416.54 is: 624.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.44 : 949.16 = 416.54 : x
  2. Step 2: Convert to fraction form
    633.44/949.16 = 416.54/x
  3. Step 3: Cross multiply
    633.44x = 949.16 × 416.54
  4. Step 4: Simplify right side
    633.44x = 395,363.11
  5. Step 5: Solve for x
    x = 395,363.11/633.44
  6. Step 6: Final answer
    x = 624.15

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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.