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Finding the Fourth Proportional to 667.23, 920.62 and 478.77

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Solution

The fourth proportional to 667.23, 920.62 and 478.77 is: 660.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.23 : 920.62 = 478.77 : x
  2. Step 2: Convert to fraction form
    667.23/920.62 = 478.77/x
  3. Step 3: Cross multiply
    667.23x = 920.62 × 478.77
  4. Step 4: Simplify right side
    667.23x = 440,760.63
  5. Step 5: Solve for x
    x = 440,760.63/667.23
  6. Step 6: Final answer
    x = 660.59

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