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Finding the Fourth Proportional to 698.31, 963.77 and 465.84

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Solution

The fourth proportional to 698.31, 963.77 and 465.84 is: 642.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.31 : 963.77 = 465.84 : x
  2. Step 2: Convert to fraction form
    698.31/963.77 = 465.84/x
  3. Step 3: Cross multiply
    698.31x = 963.77 × 465.84
  4. Step 4: Simplify right side
    698.31x = 448,960.29
  5. Step 5: Solve for x
    x = 448,960.29/698.31
  6. Step 6: Final answer
    x = 642.92

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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.