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Finding the Fourth Proportional to 552.16, 761.95 and 303.43

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Solution

The fourth proportional to 552.16, 761.95 and 303.43 is: 418.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.16 : 761.95 = 303.43 : x
  2. Step 2: Convert to fraction form
    552.16/761.95 = 303.43/x
  3. Step 3: Cross multiply
    552.16x = 761.95 × 303.43
  4. Step 4: Simplify right side
    552.16x = 231,198.49
  5. Step 5: Solve for x
    x = 231,198.49/552.16
  6. Step 6: Final answer
    x = 418.72

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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.