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Finding the Fourth Proportional to 552.49, 762.90 and 375.83

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Solution

The fourth proportional to 552.49, 762.90 and 375.83 is: 518.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.49 : 762.90 = 375.83 : x
  2. Step 2: Convert to fraction form
    552.49/762.90 = 375.83/x
  3. Step 3: Cross multiply
    552.49x = 762.90 × 375.83
  4. Step 4: Simplify right side
    552.49x = 286,718.34
  5. Step 5: Solve for x
    x = 286,718.34/552.49
  6. Step 6: Final answer
    x = 518.95

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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.