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Finding the Fourth Proportional to 462.95, 694.62 and 202.82

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Solution

The fourth proportional to 462.95, 694.62 and 202.82 is: 304.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.95 : 694.62 = 202.82 : x
  2. Step 2: Convert to fraction form
    462.95/694.62 = 202.82/x
  3. Step 3: Cross multiply
    462.95x = 694.62 × 202.82
  4. Step 4: Simplify right side
    462.95x = 140,882.83
  5. Step 5: Solve for x
    x = 140,882.83/462.95
  6. Step 6: Final answer
    x = 304.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.