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Finding the Fourth Proportional to 393.24, 589.06 and 380.10

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Solution

The fourth proportional to 393.24, 589.06 and 380.10 is: 569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.24 : 589.06 = 380.10 : x
  2. Step 2: Convert to fraction form
    393.24/589.06 = 380.10/x
  3. Step 3: Cross multiply
    393.24x = 589.06 × 380.10
  4. Step 4: Simplify right side
    393.24x = 223,901.71
  5. Step 5: Solve for x
    x = 223,901.71/393.24
  6. Step 6: Final answer
    x = 569.38

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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.