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Finding the Fourth Proportional to 350.76, 484.08 and 203.36

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Solution

The fourth proportional to 350.76, 484.08 and 203.36 is: 280.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.76 : 484.08 = 203.36 : x
  2. Step 2: Convert to fraction form
    350.76/484.08 = 203.36/x
  3. Step 3: Cross multiply
    350.76x = 484.08 × 203.36
  4. Step 4: Simplify right side
    350.76x = 98,442.51
  5. Step 5: Solve for x
    x = 98,442.51/350.76
  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.