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Finding the Fourth Proportional to 420.48, 631.17 and 238.05

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Solution

The fourth proportional to 420.48, 631.17 and 238.05 is: 357.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.48 : 631.17 = 238.05 : x
  2. Step 2: Convert to fraction form
    420.48/631.17 = 238.05/x
  3. Step 3: Cross multiply
    420.48x = 631.17 × 238.05
  4. Step 4: Simplify right side
    420.48x = 150,250.02
  5. Step 5: Solve for x
    x = 150,250.02/420.48
  6. Step 6: Final answer
    x = 357.33

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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.