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Finding the Fourth Proportional to 698.50, 964.05 and 465.76

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Solution

The fourth proportional to 698.50, 964.05 and 465.76 is: 642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.50 : 964.05 = 465.76 : x
  2. Step 2: Convert to fraction form
    698.50/964.05 = 465.76/x
  3. Step 3: Cross multiply
    698.50x = 964.05 × 465.76
  4. Step 4: Simplify right side
    698.50x = 449,015.93
  5. Step 5: Solve for x
    x = 449,015.93/698.50
  6. Step 6: Final answer
    x = 642.83

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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.