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Finding the Fourth Proportional to 669.29, 921.74 and 576

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Solution

The fourth proportional to 669.29, 921.74 and 576 is: 793.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.29 : 921.74 = 576 : x
  2. Step 2: Convert to fraction form
    669.29/921.74 = 576/x
  3. Step 3: Cross multiply
    669.29x = 921.74 × 576
  4. Step 4: Simplify right side
    669.29x = 530,919.36
  5. Step 5: Solve for x
    x = 530,919.36/669.29
  6. Step 6: Final answer
    x = 793.26

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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.