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Finding the Fourth Proportional to 614.13, 847.22 and 365.31

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Solution

The fourth proportional to 614.13, 847.22 and 365.31 is: 503.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.13 : 847.22 = 365.31 : x
  2. Step 2: Convert to fraction form
    614.13/847.22 = 365.31/x
  3. Step 3: Cross multiply
    614.13x = 847.22 × 365.31
  4. Step 4: Simplify right side
    614.13x = 309,497.94
  5. Step 5: Solve for x
    x = 309,497.94/614.13
  6. Step 6: Final answer
    x = 503.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.