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Finding the Fourth Proportional to 698.75, 964.31 and 388.25

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Solution

The fourth proportional to 698.75, 964.31 and 388.25 is: 535.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.75 : 964.31 = 388.25 : x
  2. Step 2: Convert to fraction form
    698.75/964.31 = 388.25/x
  3. Step 3: Cross multiply
    698.75x = 964.31 × 388.25
  4. Step 4: Simplify right side
    698.75x = 374,391.42
  5. Step 5: Solve for x
    x = 374,391.42/698.75
  6. Step 6: Final answer
    x = 535.80

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1.5x scale

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.