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Finding the Fourth Proportional to 420.50, 631.20 and 238.25

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Solution

The fourth proportional to 420.50, 631.20 and 238.25 is: 357.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.50 : 631.20 = 238.25 : x
  2. Step 2: Convert to fraction form
    420.50/631.20 = 238.25/x
  3. Step 3: Cross multiply
    420.50x = 631.20 × 238.25
  4. Step 4: Simplify right side
    420.50x = 150,385.87
  5. Step 5: Solve for x
    x = 150,385.87/420.50
  6. Step 6: Final answer
    x = 357.63

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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.