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Finding the Fourth Proportional to 420.21, 630.78 and 247.08

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Solution

The fourth proportional to 420.21, 630.78 and 247.08 is: 370.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.21 : 630.78 = 247.08 : x
  2. Step 2: Convert to fraction form
    420.21/630.78 = 247.08/x
  3. Step 3: Cross multiply
    420.21x = 630.78 × 247.08
  4. Step 4: Simplify right side
    420.21x = 155,853.12
  5. Step 5: Solve for x
    x = 155,853.12/420.21
  6. Step 6: Final answer
    x = 370.89

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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.