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Finding the Fourth Proportional to 407.73, 611.21 and 201.93

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Solution

The fourth proportional to 407.73, 611.21 and 201.93 is: 302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.73 : 611.21 = 201.93 : x
  2. Step 2: Convert to fraction form
    407.73/611.21 = 201.93/x
  3. Step 3: Cross multiply
    407.73x = 611.21 × 201.93
  4. Step 4: Simplify right side
    407.73x = 123,421.64
  5. Step 5: Solve for x
    x = 123,421.64/407.73
  6. Step 6: Final answer
    x = 302.70

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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.