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Finding the Fourth Proportional to 350.83, 484.17 and 201.47

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Solution

The fourth proportional to 350.83, 484.17 and 201.47 is: 278.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.83 : 484.17 = 201.47 : x
  2. Step 2: Convert to fraction form
    350.83/484.17 = 201.47/x
  3. Step 3: Cross multiply
    350.83x = 484.17 × 201.47
  4. Step 4: Simplify right side
    350.83x = 97,545.71
  5. Step 5: Solve for x
    x = 97,545.71/350.83
  6. Step 6: Final answer
    x = 278.05

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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.