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Finding the Fourth Proportional to 614.31, 848.23 and 378.37

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Solution

The fourth proportional to 614.31, 848.23 and 378.37 is: 522.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.31 : 848.23 = 378.37 : x
  2. Step 2: Convert to fraction form
    614.31/848.23 = 378.37/x
  3. Step 3: Cross multiply
    614.31x = 848.23 × 378.37
  4. Step 4: Simplify right side
    614.31x = 320,944.90
  5. Step 5: Solve for x
    x = 320,944.90/614.31
  6. Step 6: Final answer
    x = 522.45

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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.