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Finding the Fourth Proportional to 397.19, 596.79 and 380.99

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Solution

The fourth proportional to 397.19, 596.79 and 380.99 is: 572.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.19 : 596.79 = 380.99 : x
  2. Step 2: Convert to fraction form
    397.19/596.79 = 380.99/x
  3. Step 3: Cross multiply
    397.19x = 596.79 × 380.99
  4. Step 4: Simplify right side
    397.19x = 227,368.04
  5. Step 5: Solve for x
    x = 227,368.04/397.19
  6. Step 6: Final answer
    x = 572.45

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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.