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Finding the Fourth Proportional to 640.10, 959.34 and 434.16

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Solution

The fourth proportional to 640.10, 959.34 and 434.16 is: 650.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.10 : 959.34 = 434.16 : x
  2. Step 2: Convert to fraction form
    640.10/959.34 = 434.16/x
  3. Step 3: Cross multiply
    640.10x = 959.34 × 434.16
  4. Step 4: Simplify right side
    640.10x = 416,508.68
  5. Step 5: Solve for x
    x = 416,508.68/640.10
  6. Step 6: Final answer
    x = 650.69

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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.