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Finding the Fourth Proportional to 524.11, 785.27 and 361.21

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Solution

The fourth proportional to 524.11, 785.27 and 361.21 is: 541.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.11 : 785.27 = 361.21 : x
  2. Step 2: Convert to fraction form
    524.11/785.27 = 361.21/x
  3. Step 3: Cross multiply
    524.11x = 785.27 × 361.21
  4. Step 4: Simplify right side
    524.11x = 283,645.57
  5. Step 5: Solve for x
    x = 283,645.57/524.11
  6. Step 6: Final answer
    x = 541.19

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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.