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Finding the Fourth Proportional to 407.61, 611.11 and 245.26

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Solution

The fourth proportional to 407.61, 611.11 and 245.26 is: 367.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.61 : 611.11 = 245.26 : x
  2. Step 2: Convert to fraction form
    407.61/611.11 = 245.26/x
  3. Step 3: Cross multiply
    407.61x = 611.11 × 245.26
  4. Step 4: Simplify right side
    407.61x = 149,878.47
  5. Step 5: Solve for x
    x = 149,878.47/407.61
  6. Step 6: Final answer
    x = 367.70

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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.