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Finding the Fourth Proportional to 640.96, 961.50 and 386.08

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Solution

The fourth proportional to 640.96, 961.50 and 386.08 is: 579.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.96 : 961.50 = 386.08 : x
  2. Step 2: Convert to fraction form
    640.96/961.50 = 386.08/x
  3. Step 3: Cross multiply
    640.96x = 961.50 × 386.08
  4. Step 4: Simplify right side
    640.96x = 371,215.92
  5. Step 5: Solve for x
    x = 371,215.92/640.96
  6. Step 6: Final answer
    x = 579.16

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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.