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Finding the Fourth Proportional to 407.18, 611.01 and 201.65

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Solution

The fourth proportional to 407.18, 611.01 and 201.65 is: 302.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.18 : 611.01 = 201.65 : x
  2. Step 2: Convert to fraction form
    407.18/611.01 = 201.65/x
  3. Step 3: Cross multiply
    407.18x = 611.01 × 201.65
  4. Step 4: Simplify right side
    407.18x = 123,207.11
  5. Step 5: Solve for x
    x = 123,207.11/407.18
  6. Step 6: Final answer
    x = 302.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.