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Finding the Fourth Proportional to 350.24, 483.42 and 202.95

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Solution

The fourth proportional to 350.24, 483.42 and 202.95 is: 280.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.24 : 483.42 = 202.95 : x
  2. Step 2: Convert to fraction form
    350.24/483.42 = 202.95/x
  3. Step 3: Cross multiply
    350.24x = 483.42 × 202.95
  4. Step 4: Simplify right side
    350.24x = 98,110.09
  5. Step 5: Solve for x
    x = 98,110.09/350.24
  6. Step 6: Final answer
    x = 280.13

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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.