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Finding the Fourth Proportional to 640.02, 960.03 and 352.02

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Solution

The fourth proportional to 640.02, 960.03 and 352.02 is: 528.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.02 : 960.03 = 352.02 : x
  2. Step 2: Convert to fraction form
    640.02/960.03 = 352.02/x
  3. Step 3: Cross multiply
    640.02x = 960.03 × 352.02
  4. Step 4: Simplify right side
    640.02x = 337,949.76
  5. Step 5: Solve for x
    x = 337,949.76/640.02
  6. Step 6: Final answer
    x = 528.03

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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.