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Finding the Fourth Proportional to 633.70, 949.01 and 438.18

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Solution

The fourth proportional to 633.70, 949.01 and 438.18 is: 656.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.70 : 949.01 = 438.18 : x
  2. Step 2: Convert to fraction form
    633.70/949.01 = 438.18/x
  3. Step 3: Cross multiply
    633.70x = 949.01 × 438.18
  4. Step 4: Simplify right side
    633.70x = 415,837.20
  5. Step 5: Solve for x
    x = 415,837.20/633.70
  6. Step 6: Final answer
    x = 656.21

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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.