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Finding the Fourth Proportional to 420.40, 630.60 and 214.68

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Solution

The fourth proportional to 420.40, 630.60 and 214.68 is: 322.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.40 : 630.60 = 214.68 : x
  2. Step 2: Convert to fraction form
    420.40/630.60 = 214.68/x
  3. Step 3: Cross multiply
    420.40x = 630.60 × 214.68
  4. Step 4: Simplify right side
    420.40x = 135,377.21
  5. Step 5: Solve for x
    x = 135,377.21/420.40
  6. Step 6: Final answer
    x = 322.02

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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.