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Finding the Fourth Proportional to 420.17, 630.17 and 200.79

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Solution

The fourth proportional to 420.17, 630.17 and 200.79 is: 301.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.17 : 630.17 = 200.79 : x
  2. Step 2: Convert to fraction form
    420.17/630.17 = 200.79/x
  3. Step 3: Cross multiply
    420.17x = 630.17 × 200.79
  4. Step 4: Simplify right side
    420.17x = 126,530.83
  5. Step 5: Solve for x
    x = 126,530.83/420.17
  6. Step 6: Final answer
    x = 301.15

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