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Finding the Fourth Proportional to 393.24, 592.56 and 374.70

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Solution

The fourth proportional to 393.24, 592.56 and 374.70 is: 564.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.24 : 592.56 = 374.70 : x
  2. Step 2: Convert to fraction form
    393.24/592.56 = 374.70/x
  3. Step 3: Cross multiply
    393.24x = 592.56 × 374.70
  4. Step 4: Simplify right side
    393.24x = 222,032.23
  5. Step 5: Solve for x
    x = 222,032.23/393.24
  6. Step 6: Final answer
    x = 564.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.