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Finding the Fourth Proportional to 420.44, 630.12 and 189.08

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Solution

The fourth proportional to 420.44, 630.12 and 189.08 is: 283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.44 : 630.12 = 189.08 : x
  2. Step 2: Convert to fraction form
    420.44/630.12 = 189.08/x
  3. Step 3: Cross multiply
    420.44x = 630.12 × 189.08
  4. Step 4: Simplify right side
    420.44x = 119,143.09
  5. Step 5: Solve for x
    x = 119,143.09/420.44
  6. Step 6: Final answer
    x = 283.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.