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Finding the Fourth Proportional to 507.94, 761.42 and 361.22

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Solution

The fourth proportional to 507.94, 761.42 and 361.22 is: 541.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.94 : 761.42 = 361.22 : x
  2. Step 2: Convert to fraction form
    507.94/761.42 = 361.22/x
  3. Step 3: Cross multiply
    507.94x = 761.42 × 361.22
  4. Step 4: Simplify right side
    507.94x = 275,037.23
  5. Step 5: Solve for x
    x = 275,037.23/507.94
  6. Step 6: Final answer
    x = 541.48

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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.