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Finding the Fourth Proportional to 698.63, 964.31 and 465.75

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Solution

The fourth proportional to 698.63, 964.31 and 465.75 is: 642.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.63 : 964.31 = 465.75 : x
  2. Step 2: Convert to fraction form
    698.63/964.31 = 465.75/x
  3. Step 3: Cross multiply
    698.63x = 964.31 × 465.75
  4. Step 4: Simplify right side
    698.63x = 449,125.05
  5. Step 5: Solve for x
    x = 449,125.05/698.63
  6. Step 6: Final answer
    x = 642.87

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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.