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Finding the Fourth Proportional to 420.23, 630.72 and 214.94

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Solution

The fourth proportional to 420.23, 630.72 and 214.94 is: 322.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.23 : 630.72 = 214.94 : x
  2. Step 2: Convert to fraction form
    420.23/630.72 = 214.94/x
  3. Step 3: Cross multiply
    420.23x = 630.72 × 214.94
  4. Step 4: Simplify right side
    420.23x = 135,563.80
  5. Step 5: Solve for x
    x = 135,563.80/420.23
  6. Step 6: Final answer
    x = 322.60

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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.