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Finding the Fourth Proportional to 420.25, 630.20 and 247.26

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Solution

The fourth proportional to 420.25, 630.20 and 247.26 is: 370.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.25 : 630.20 = 247.26 : x
  2. Step 2: Convert to fraction form
    420.25/630.20 = 247.26/x
  3. Step 3: Cross multiply
    420.25x = 630.20 × 247.26
  4. Step 4: Simplify right side
    420.25x = 155,822.02
  5. Step 5: Solve for x
    x = 155,822.02/420.25
  6. Step 6: Final answer
    x = 370.79

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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.