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Finding the Fourth Proportional to 668.26, 922.31 and 384.67

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Solution

The fourth proportional to 668.26, 922.31 and 384.67 is: 530.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.26 : 922.31 = 384.67 : x
  2. Step 2: Convert to fraction form
    668.26/922.31 = 384.67/x
  3. Step 3: Cross multiply
    668.26x = 922.31 × 384.67
  4. Step 4: Simplify right side
    668.26x = 354,784.99
  5. Step 5: Solve for x
    x = 354,784.99/668.26
  6. Step 6: Final answer
    x = 530.91

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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.