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Finding the Fourth Proportional to 667.86, 920.78 and 457.66

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Solution

The fourth proportional to 667.86, 920.78 and 457.66 is: 630.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.86 : 920.78 = 457.66 : x
  2. Step 2: Convert to fraction form
    667.86/920.78 = 457.66/x
  3. Step 3: Cross multiply
    667.86x = 920.78 × 457.66
  4. Step 4: Simplify right side
    667.86x = 421,398.33
  5. Step 5: Solve for x
    x = 421,398.33/667.86
  6. Step 6: Final answer
    x = 630.97

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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.