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Finding the Fourth Proportional to 614.73, 848.19 and 349.14

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Solution

The fourth proportional to 614.73, 848.19 and 349.14 is: 481.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.73 : 848.19 = 349.14 : x
  2. Step 2: Convert to fraction form
    614.73/848.19 = 349.14/x
  3. Step 3: Cross multiply
    614.73x = 848.19 × 349.14
  4. Step 4: Simplify right side
    614.73x = 296,137.06
  5. Step 5: Solve for x
    x = 296,137.06/614.73
  6. Step 6: Final answer
    x = 481.74

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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.