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Finding the Fourth Proportional to 552.94, 762.23 and 454.53

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Solution

The fourth proportional to 552.94, 762.23 and 454.53 is: 626.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.94 : 762.23 = 454.53 : x
  2. Step 2: Convert to fraction form
    552.94/762.23 = 454.53/x
  3. Step 3: Cross multiply
    552.94x = 762.23 × 454.53
  4. Step 4: Simplify right side
    552.94x = 346,453.55
  5. Step 5: Solve for x
    x = 346,453.55/552.94
  6. Step 6: Final answer
    x = 626.56

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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.