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Finding the Fourth Proportional to 552.10, 761.85 and 303.42

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Solution

The fourth proportional to 552.10, 761.85 and 303.42 is: 418.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.10 : 761.85 = 303.42 : x
  2. Step 2: Convert to fraction form
    552.10/761.85 = 303.42/x
  3. Step 3: Cross multiply
    552.10x = 761.85 × 303.42
  4. Step 4: Simplify right side
    552.10x = 231,160.53
  5. Step 5: Solve for x
    x = 231,160.53/552.10
  6. Step 6: Final answer
    x = 418.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.