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Finding the Fourth Proportional to 420.56, 630.75 and 128.00

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Solution

The fourth proportional to 420.56, 630.75 and 128.00 is: 191.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.56 : 630.75 = 128.00 : x
  2. Step 2: Convert to fraction form
    420.56/630.75 = 128.00/x
  3. Step 3: Cross multiply
    420.56x = 630.75 × 128.00
  4. Step 4: Simplify right side
    420.56x = 80,732.85
  5. Step 5: Solve for x
    x = 80,732.85/420.56
  6. Step 6: Final answer
    x = 191.97

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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.