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Finding the Fourth Proportional to 361.29, 540.51 and 229.06

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Solution

The fourth proportional to 361.29, 540.51 and 229.06 is: 342.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.29 : 540.51 = 229.06 : x
  2. Step 2: Convert to fraction form
    361.29/540.51 = 229.06/x
  3. Step 3: Cross multiply
    361.29x = 540.51 × 229.06
  4. Step 4: Simplify right side
    361.29x = 123,809.22
  5. Step 5: Solve for x
    x = 123,809.22/361.29
  6. Step 6: Final answer
    x = 342.69

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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.