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Finding the Fourth Proportional to 667.87, 921.76 and 384.37

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Solution

The fourth proportional to 667.87, 921.76 and 384.37 is: 530.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.87 : 921.76 = 384.37 : x
  2. Step 2: Convert to fraction form
    667.87/921.76 = 384.37/x
  3. Step 3: Cross multiply
    667.87x = 921.76 × 384.37
  4. Step 4: Simplify right side
    667.87x = 354,293.63
  5. Step 5: Solve for x
    x = 354,293.63/667.87
  6. Step 6: Final answer
    x = 530.48

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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.