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Finding the Fourth Proportional to 640.59, 959.06 and 408.93

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Solution

The fourth proportional to 640.59, 959.06 and 408.93 is: 612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.59 : 959.06 = 408.93 : x
  2. Step 2: Convert to fraction form
    640.59/959.06 = 408.93/x
  3. Step 3: Cross multiply
    640.59x = 959.06 × 408.93
  4. Step 4: Simplify right side
    640.59x = 392,186.36
  5. Step 5: Solve for x
    x = 392,186.36/640.59
  6. Step 6: Final answer
    x = 612.23

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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.