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Finding the Fourth Proportional to 608.23, 839.44 and 460.61

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Solution

The fourth proportional to 608.23, 839.44 and 460.61 is: 635.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.23 : 839.44 = 460.61 : x
  2. Step 2: Convert to fraction form
    608.23/839.44 = 460.61/x
  3. Step 3: Cross multiply
    608.23x = 839.44 × 460.61
  4. Step 4: Simplify right side
    608.23x = 386,654.46
  5. Step 5: Solve for x
    x = 386,654.46/608.23
  6. Step 6: Final answer
    x = 635.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.