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Finding the Fourth Proportional to 699.75, 964.46 and 478.31

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Solution

The fourth proportional to 699.75, 964.46 and 478.31 is: 659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.75 : 964.46 = 478.31 : x
  2. Step 2: Convert to fraction form
    699.75/964.46 = 478.31/x
  3. Step 3: Cross multiply
    699.75x = 964.46 × 478.31
  4. Step 4: Simplify right side
    699.75x = 461,310.86
  5. Step 5: Solve for x
    x = 461,310.86/699.75
  6. Step 6: Final answer
    x = 659.25

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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.