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Finding the Fourth Proportional to 640.76, 884.27 and 360.98

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Solution

The fourth proportional to 640.76, 884.27 and 360.98 is: 498.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.76 : 884.27 = 360.98 : x
  2. Step 2: Convert to fraction form
    640.76/884.27 = 360.98/x
  3. Step 3: Cross multiply
    640.76x = 884.27 × 360.98
  4. Step 4: Simplify right side
    640.76x = 319,197.56
  5. Step 5: Solve for x
    x = 319,197.56/640.76
  6. Step 6: Final answer
    x = 498.16

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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.