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Finding the Fourth Proportional to 380.07, 566.24 and 367.02

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Solution

The fourth proportional to 380.07, 566.24 and 367.02 is: 546.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.07 : 566.24 = 367.02 : x
  2. Step 2: Convert to fraction form
    380.07/566.24 = 367.02/x
  3. Step 3: Cross multiply
    380.07x = 566.24 × 367.02
  4. Step 4: Simplify right side
    380.07x = 207,819.57
  5. Step 5: Solve for x
    x = 207,819.57/380.07
  6. Step 6: Final answer
    x = 546.79

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Why These Related Problems?

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