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Finding the Fourth Proportional to 640.19, 960.39 and 275.02

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Solution

The fourth proportional to 640.19, 960.39 and 275.02 is: 412.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.19 : 960.39 = 275.02 : x
  2. Step 2: Convert to fraction form
    640.19/960.39 = 275.02/x
  3. Step 3: Cross multiply
    640.19x = 960.39 × 275.02
  4. Step 4: Simplify right side
    640.19x = 264,124.06
  5. Step 5: Solve for x
    x = 264,124.06/640.19
  6. Step 6: Final answer
    x = 412.57

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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.