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Finding the Fourth Proportional to 552.51, 762.48 and 331.48

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Solution

The fourth proportional to 552.51, 762.48 and 331.48 is: 457.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.51 : 762.48 = 331.48 : x
  2. Step 2: Convert to fraction form
    552.51/762.48 = 331.48/x
  3. Step 3: Cross multiply
    552.51x = 762.48 × 331.48
  4. Step 4: Simplify right side
    552.51x = 252,746.87
  5. Step 5: Solve for x
    x = 252,746.87/552.51
  6. Step 6: Final answer
    x = 457.45

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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.