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Finding the Fourth Proportional to 420.18, 630.33 and 189.33

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Solution

The fourth proportional to 420.18, 630.33 and 189.33 is: 284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.18 : 630.33 = 189.33 : x
  2. Step 2: Convert to fraction form
    420.18/630.33 = 189.33/x
  3. Step 3: Cross multiply
    420.18x = 630.33 × 189.33
  4. Step 4: Simplify right side
    420.18x = 119,339.43
  5. Step 5: Solve for x
    x = 119,339.43/420.18
  6. Step 6: Final answer
    x = 284.02

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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.