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Finding the Fourth Proportional to 614.30, 922.32 and 382.46

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Solution

The fourth proportional to 614.30, 922.32 and 382.46 is: 574.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.30 : 922.32 = 382.46 : x
  2. Step 2: Convert to fraction form
    614.30/922.32 = 382.46/x
  3. Step 3: Cross multiply
    614.30x = 922.32 × 382.46
  4. Step 4: Simplify right side
    614.30x = 352,750.51
  5. Step 5: Solve for x
    x = 352,750.51/614.30
  6. Step 6: Final answer
    x = 574.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.