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Finding the Fourth Proportional to 420.40, 630.08 and 203.92

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Solution

The fourth proportional to 420.40, 630.08 and 203.92 is: 305.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.40 : 630.08 = 203.92 : x
  2. Step 2: Convert to fraction form
    420.40/630.08 = 203.92/x
  3. Step 3: Cross multiply
    420.40x = 630.08 × 203.92
  4. Step 4: Simplify right side
    420.40x = 128,485.91
  5. Step 5: Solve for x
    x = 128,485.91/420.40
  6. Step 6: Final answer
    x = 305.63

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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.