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Finding the Fourth Proportional to 640.70, 884.17 and 360.93

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Solution

The fourth proportional to 640.70, 884.17 and 360.93 is: 498.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.70 : 884.17 = 360.93 : x
  2. Step 2: Convert to fraction form
    640.70/884.17 = 360.93/x
  3. Step 3: Cross multiply
    640.70x = 884.17 × 360.93
  4. Step 4: Simplify right side
    640.70x = 319,121.67
  5. Step 5: Solve for x
    x = 319,121.67/640.70
  6. Step 6: Final answer
    x = 498.09

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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.