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Finding the Fourth Proportional to 633.16, 949.33 and 416.08

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Solution

The fourth proportional to 633.16, 949.33 and 416.08 is: 623.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.16 : 949.33 = 416.08 : x
  2. Step 2: Convert to fraction form
    633.16/949.33 = 416.08/x
  3. Step 3: Cross multiply
    633.16x = 949.33 × 416.08
  4. Step 4: Simplify right side
    633.16x = 394,997.23
  5. Step 5: Solve for x
    x = 394,997.23/633.16
  6. Step 6: Final answer
    x = 623.85

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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.