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Finding the Fourth Proportional to 667, 920.70 and 460.12

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Solution

The fourth proportional to 667, 920.70 and 460.12 is: 635.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    667 : 920.70 = 460.12 : x
  2. Step 2: Convert to fraction form
    667/920.70 = 460.12/x
  3. Step 3: Cross multiply
    667x = 920.70 × 460.12
  4. Step 4: Simplify right side
    667x = 423,632.48
  5. Step 5: Solve for x
    x = 423,632.48/667
  6. Step 6: Final answer
    x = 635.13

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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.