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Finding the Fourth Proportional to 420.82, 630.67 and 238.10

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Solution

The fourth proportional to 420.82, 630.67 and 238.10 is: 356.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.82 : 630.67 = 238.10 : x
  2. Step 2: Convert to fraction form
    420.82/630.67 = 238.10/x
  3. Step 3: Cross multiply
    420.82x = 630.67 × 238.10
  4. Step 4: Simplify right side
    420.82x = 150,162.53
  5. Step 5: Solve for x
    x = 150,162.53/420.82
  6. Step 6: Final answer
    x = 356.83

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Why These Related Problems?

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