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Finding the Fourth Proportional to 667.70, 922.25 and 472.08

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Solution

The fourth proportional to 667.70, 922.25 and 472.08 is: 652.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.70 : 922.25 = 472.08 : x
  2. Step 2: Convert to fraction form
    667.70/922.25 = 472.08/x
  3. Step 3: Cross multiply
    667.70x = 922.25 × 472.08
  4. Step 4: Simplify right side
    667.70x = 435,375.78
  5. Step 5: Solve for x
    x = 435,375.78/667.70
  6. Step 6: Final answer
    x = 652.05

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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.