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Finding the Fourth Proportional to 640.50, 960.93 and 315.78

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Solution

The fourth proportional to 640.50, 960.93 and 315.78 is: 473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.50 : 960.93 = 315.78 : x
  2. Step 2: Convert to fraction form
    640.50/960.93 = 315.78/x
  3. Step 3: Cross multiply
    640.50x = 960.93 × 315.78
  4. Step 4: Simplify right side
    640.50x = 303,442.48
  5. Step 5: Solve for x
    x = 303,442.48/640.50
  6. Step 6: Final answer
    x = 473.76

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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.