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Finding the Fourth Proportional to 698.63, 964.18 and 446.79

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Solution

The fourth proportional to 698.63, 964.18 and 446.79 is: 616.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.63 : 964.18 = 446.79 : x
  2. Step 2: Convert to fraction form
    698.63/964.18 = 446.79/x
  3. Step 3: Cross multiply
    698.63x = 964.18 × 446.79
  4. Step 4: Simplify right side
    698.63x = 430,785.98
  5. Step 5: Solve for x
    x = 430,785.98/698.63
  6. Step 6: Final answer
    x = 616.62

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Why These Related Problems?

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