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Finding the Fourth Proportional to 552.24, 762.24 and 355.80

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Solution

The fourth proportional to 552.24, 762.24 and 355.80 is: 491.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.24 : 762.24 = 355.80 : x
  2. Step 2: Convert to fraction form
    552.24/762.24 = 355.80/x
  3. Step 3: Cross multiply
    552.24x = 762.24 × 355.80
  4. Step 4: Simplify right side
    552.24x = 271,204.99
  5. Step 5: Solve for x
    x = 271,204.99/552.24
  6. Step 6: Final answer
    x = 491.10

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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.