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Finding the Fourth Proportional to 420.89, 630.75 and 189.72

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Solution

The fourth proportional to 420.89, 630.75 and 189.72 is: 284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.89 : 630.75 = 189.72 : x
  2. Step 2: Convert to fraction form
    420.89/630.75 = 189.72/x
  3. Step 3: Cross multiply
    420.89x = 630.75 × 189.72
  4. Step 4: Simplify right side
    420.89x = 119,665.89
  5. Step 5: Solve for x
    x = 119,665.89/420.89
  6. Step 6: Final answer
    x = 284.32

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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.