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Finding the Fourth Proportional to 640.22, 960.84 and 332.16

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Solution

The fourth proportional to 640.22, 960.84 and 332.16 is: 498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.22 : 960.84 = 332.16 : x
  2. Step 2: Convert to fraction form
    640.22/960.84 = 332.16/x
  3. Step 3: Cross multiply
    640.22x = 960.84 × 332.16
  4. Step 4: Simplify right side
    640.22x = 319,149.38
  5. Step 5: Solve for x
    x = 319,149.38/640.22
  6. Step 6: Final answer
    x = 498.50

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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.