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Finding the Fourth Proportional to 614.75, 848.36 and 338.75

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Solution

The fourth proportional to 614.75, 848.36 and 338.75 is: 467.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.75 : 848.36 = 338.75 : x
  2. Step 2: Convert to fraction form
    614.75/848.36 = 338.75/x
  3. Step 3: Cross multiply
    614.75x = 848.36 × 338.75
  4. Step 4: Simplify right side
    614.75x = 287,380.26
  5. Step 5: Solve for x
    x = 287,380.26/614.75
  6. Step 6: Final answer
    x = 467.48

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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.