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Finding the Fourth Proportional to 667.34, 921.68 and 658.23

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Solution

The fourth proportional to 667.34, 921.68 and 658.23 is: 909.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.34 : 921.68 = 658.23 : x
  2. Step 2: Convert to fraction form
    667.34/921.68 = 658.23/x
  3. Step 3: Cross multiply
    667.34x = 921.68 × 658.23
  4. Step 4: Simplify right side
    667.34x = 606,674.14
  5. Step 5: Solve for x
    x = 606,674.14/667.34
  6. Step 6: Final answer
    x = 909.10

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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.