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Finding the Fourth Proportional to 669.20, 922.74 and 433.13

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Solution

The fourth proportional to 669.20, 922.74 and 433.13 is: 597.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.20 : 922.74 = 433.13 : x
  2. Step 2: Convert to fraction form
    669.20/922.74 = 433.13/x
  3. Step 3: Cross multiply
    669.20x = 922.74 × 433.13
  4. Step 4: Simplify right side
    669.20x = 399,661.76
  5. Step 5: Solve for x
    x = 399,661.76/669.20
  6. Step 6: Final answer
    x = 597.23

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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.