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Finding the Fourth Proportional to 420.18, 630.01 and 200.87

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Solution

The fourth proportional to 420.18, 630.01 and 200.87 is: 301.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.18 : 630.01 = 200.87 : x
  2. Step 2: Convert to fraction form
    420.18/630.01 = 200.87/x
  3. Step 3: Cross multiply
    420.18x = 630.01 × 200.87
  4. Step 4: Simplify right side
    420.18x = 126,549.57
  5. Step 5: Solve for x
    x = 126,549.57/420.18
  6. Step 6: Final answer
    x = 301.18

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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.