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Finding the Fourth Proportional to 664.18, 994.19 and 498.67

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Solution

The fourth proportional to 664.18, 994.19 and 498.67 is: 746.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.18 : 994.19 = 498.67 : x
  2. Step 2: Convert to fraction form
    664.18/994.19 = 498.67/x
  3. Step 3: Cross multiply
    664.18x = 994.19 × 498.67
  4. Step 4: Simplify right side
    664.18x = 495,767.75
  5. Step 5: Solve for x
    x = 495,767.75/664.18
  6. Step 6: Final answer
    x = 746.44

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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.