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Finding the Fourth Proportional to 640.80, 884.24 and 361

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Solution

The fourth proportional to 640.80, 884.24 and 361 is: 498.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.80 : 884.24 = 361 : x
  2. Step 2: Convert to fraction form
    640.80/884.24 = 361/x
  3. Step 3: Cross multiply
    640.80x = 884.24 × 361
  4. Step 4: Simplify right side
    640.80x = 319,210.64
  5. Step 5: Solve for x
    x = 319,210.64/640.80
  6. Step 6: Final answer
    x = 498.14

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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.