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Finding the Fourth Proportional to 380.49, 570.12 and 344.04

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Solution

The fourth proportional to 380.49, 570.12 and 344.04 is: 515.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.49 : 570.12 = 344.04 : x
  2. Step 2: Convert to fraction form
    380.49/570.12 = 344.04/x
  3. Step 3: Cross multiply
    380.49x = 570.12 × 344.04
  4. Step 4: Simplify right side
    380.49x = 196,145.37
  5. Step 5: Solve for x
    x = 196,145.37/380.49
  6. Step 6: Final answer
    x = 515.51

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Why These Related Problems?

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