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Finding the Fourth Proportional to 689.11, 949.88 and 467.67

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Solution

The fourth proportional to 689.11, 949.88 and 467.67 is: 644.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.11 : 949.88 = 467.67 : x
  2. Step 2: Convert to fraction form
    689.11/949.88 = 467.67/x
  3. Step 3: Cross multiply
    689.11x = 949.88 × 467.67
  4. Step 4: Simplify right side
    689.11x = 444,232.48
  5. Step 5: Solve for x
    x = 444,232.48/689.11
  6. Step 6: Final answer
    x = 644.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.