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Finding the Fourth Proportional to 644.40, 966.78 and 233.64

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Solution

The fourth proportional to 644.40, 966.78 and 233.64 is: 350.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.40 : 966.78 = 233.64 : x
  2. Step 2: Convert to fraction form
    644.40/966.78 = 233.64/x
  3. Step 3: Cross multiply
    644.40x = 966.78 × 233.64
  4. Step 4: Simplify right side
    644.40x = 225,878.48
  5. Step 5: Solve for x
    x = 225,878.48/644.40
  6. Step 6: Final answer
    x = 350.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.