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Finding the Fourth Proportional to 420.22, 630.08 and 189.17

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Solution

The fourth proportional to 420.22, 630.08 and 189.17 is: 283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.22 : 630.08 = 189.17 : x
  2. Step 2: Convert to fraction form
    420.22/630.08 = 189.17/x
  3. Step 3: Cross multiply
    420.22x = 630.08 × 189.17
  4. Step 4: Simplify right side
    420.22x = 119,191.21
  5. Step 5: Solve for x
    x = 119,191.21/420.22
  6. Step 6: Final answer
    x = 283.64

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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.