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Finding the Fourth Proportional to 402.24, 599.10 and 397.44

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Solution

The fourth proportional to 402.24, 599.10 and 397.44 is: 591.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.24 : 599.10 = 397.44 : x
  2. Step 2: Convert to fraction form
    402.24/599.10 = 397.44/x
  3. Step 3: Cross multiply
    402.24x = 599.10 × 397.44
  4. Step 4: Simplify right side
    402.24x = 238,106.30
  5. Step 5: Solve for x
    x = 238,106.30/402.24
  6. Step 6: Final answer
    x = 591.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.