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Finding the Fourth Proportional to 420.04, 630.15 and 200.74

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Solution

The fourth proportional to 420.04, 630.15 and 200.74 is: 301.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.04 : 630.15 = 200.74 : x
  2. Step 2: Convert to fraction form
    420.04/630.15 = 200.74/x
  3. Step 3: Cross multiply
    420.04x = 630.15 × 200.74
  4. Step 4: Simplify right side
    420.04x = 126,496.31
  5. Step 5: Solve for x
    x = 126,496.31/420.04
  6. Step 6: Final answer
    x = 301.15

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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.