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Finding the Fourth Proportional to 367.32, 509.16 and 361.20

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Solution

The fourth proportional to 367.32, 509.16 and 361.20 is: 500.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.32 : 509.16 = 361.20 : x
  2. Step 2: Convert to fraction form
    367.32/509.16 = 361.20/x
  3. Step 3: Cross multiply
    367.32x = 509.16 × 361.20
  4. Step 4: Simplify right side
    367.32x = 183,908.59
  5. Step 5: Solve for x
    x = 183,908.59/367.32
  6. Step 6: Final answer
    x = 500.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.