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Finding the Fourth Proportional to 633.17, 949.80 and 416.30

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Solution

The fourth proportional to 633.17, 949.80 and 416.30 is: 624.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.17 : 949.80 = 416.30 : x
  2. Step 2: Convert to fraction form
    633.17/949.80 = 416.30/x
  3. Step 3: Cross multiply
    633.17x = 949.80 × 416.30
  4. Step 4: Simplify right side
    633.17x = 395,401.74
  5. Step 5: Solve for x
    x = 395,401.74/633.17
  6. Step 6: Final answer
    x = 624.48

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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.