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Finding the Fourth Proportional to 552.98, 762.97 and 356.25

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Solution

The fourth proportional to 552.98, 762.97 and 356.25 is: 491.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.98 : 762.97 = 356.25 : x
  2. Step 2: Convert to fraction form
    552.98/762.97 = 356.25/x
  3. Step 3: Cross multiply
    552.98x = 762.97 × 356.25
  4. Step 4: Simplify right side
    552.98x = 271,807.17
  5. Step 5: Solve for x
    x = 271,807.17/552.98
  6. Step 6: Final answer
    x = 491.54

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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.