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Finding the Fourth Proportional to 640.64, 884.00 and 392.04

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Solution

The fourth proportional to 640.64, 884.00 and 392.04 is: 540.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.64 : 884.00 = 392.04 : x
  2. Step 2: Convert to fraction form
    640.64/884.00 = 392.04/x
  3. Step 3: Cross multiply
    640.64x = 884.00 × 392.04
  4. Step 4: Simplify right side
    640.64x = 346,564.34
  5. Step 5: Solve for x
    x = 346,564.34/640.64
  6. Step 6: Final answer
    x = 540.96

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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.