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Finding the Fourth Proportional to 640.62, 960.84 and 207.78

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Solution

The fourth proportional to 640.62, 960.84 and 207.78 is: 311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.62 : 960.84 = 207.78 : x
  2. Step 2: Convert to fraction form
    640.62/960.84 = 207.78/x
  3. Step 3: Cross multiply
    640.62x = 960.84 × 207.78
  4. Step 4: Simplify right side
    640.62x = 199,643.34
  5. Step 5: Solve for x
    x = 199,643.34/640.62
  6. Step 6: Final answer
    x = 311.64

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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.