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Finding the Fourth Proportional to 640.69, 961.05 and 292.98

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Solution

The fourth proportional to 640.69, 961.05 and 292.98 is: 439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.69 : 961.05 = 292.98 : x
  2. Step 2: Convert to fraction form
    640.69/961.05 = 292.98/x
  3. Step 3: Cross multiply
    640.69x = 961.05 × 292.98
  4. Step 4: Simplify right side
    640.69x = 281,573.13
  5. Step 5: Solve for x
    x = 281,573.13/640.69
  6. Step 6: Final answer
    x = 439.49

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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.