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Finding the Fourth Proportional to 350.70, 484.12 and 203.30

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Solution

The fourth proportional to 350.70, 484.12 and 203.30 is: 280.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.70 : 484.12 = 203.30 : x
  2. Step 2: Convert to fraction form
    350.70/484.12 = 203.30/x
  3. Step 3: Cross multiply
    350.70x = 484.12 × 203.30
  4. Step 4: Simplify right side
    350.70x = 98,423.31
  5. Step 5: Solve for x
    x = 98,423.31/350.70
  6. Step 6: Final answer
    x = 280.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.