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Finding the Fourth Proportional to 420.56, 630.30 and 189.38

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Solution

The fourth proportional to 420.56, 630.30 and 189.38 is: 283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.56 : 630.30 = 189.38 : x
  2. Step 2: Convert to fraction form
    420.56/630.30 = 189.38/x
  3. Step 3: Cross multiply
    420.56x = 630.30 × 189.38
  4. Step 4: Simplify right side
    420.56x = 119,366.21
  5. Step 5: Solve for x
    x = 119,366.21/420.56
  6. Step 6: Final answer
    x = 283.83

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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.