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Finding the Fourth Proportional to 504.93, 757.94 and 361.29

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Solution

The fourth proportional to 504.93, 757.94 and 361.29 is: 542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.93 : 757.94 = 361.29 : x
  2. Step 2: Convert to fraction form
    504.93/757.94 = 361.29/x
  3. Step 3: Cross multiply
    504.93x = 757.94 × 361.29
  4. Step 4: Simplify right side
    504.93x = 273,836.14
  5. Step 5: Solve for x
    x = 273,836.14/504.93
  6. Step 6: Final answer
    x = 542.32

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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.