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Finding the Fourth Proportional to 639.96, 960.59 and 397.06

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Solution

The fourth proportional to 639.96, 960.59 and 397.06 is: 595.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.96 : 960.59 = 397.06 : x
  2. Step 2: Convert to fraction form
    639.96/960.59 = 397.06/x
  3. Step 3: Cross multiply
    639.96x = 960.59 × 397.06
  4. Step 4: Simplify right side
    639.96x = 381,410.46
  5. Step 5: Solve for x
    x = 381,410.46/639.96
  6. Step 6: Final answer
    x = 595.99

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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.