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Finding the Fourth Proportional to 640.95, 959.59 and 424.09

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Solution

The fourth proportional to 640.95, 959.59 and 424.09 is: 634.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.95 : 959.59 = 424.09 : x
  2. Step 2: Convert to fraction form
    640.95/959.59 = 424.09/x
  3. Step 3: Cross multiply
    640.95x = 959.59 × 424.09
  4. Step 4: Simplify right side
    640.95x = 406,952.52
  5. Step 5: Solve for x
    x = 406,952.52/640.95
  6. Step 6: Final answer
    x = 634.92

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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.