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Finding the Fourth Proportional to 420.85, 631.52 and 189.75

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Solution

The fourth proportional to 420.85, 631.52 and 189.75 is: 284.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.85 : 631.52 = 189.75 : x
  2. Step 2: Convert to fraction form
    420.85/631.52 = 189.75/x
  3. Step 3: Cross multiply
    420.85x = 631.52 × 189.75
  4. Step 4: Simplify right side
    420.85x = 119,829.97
  5. Step 5: Solve for x
    x = 119,829.97/420.85
  6. Step 6: Final answer
    x = 284.73

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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.