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Finding the Fourth Proportional to 614.53, 848.05 and 338.53

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Solution

The fourth proportional to 614.53, 848.05 and 338.53 is: 467.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.53 : 848.05 = 338.53 : x
  2. Step 2: Convert to fraction form
    614.53/848.05 = 338.53/x
  3. Step 3: Cross multiply
    614.53x = 848.05 × 338.53
  4. Step 4: Simplify right side
    614.53x = 287,092.48
  5. Step 5: Solve for x
    x = 287,092.48/614.53
  6. Step 6: Final answer
    x = 467.17

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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.