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Finding the Fourth Proportional to 524.16, 785.04 and 361.44

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Solution

The fourth proportional to 524.16, 785.04 and 361.44 is: 541.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.16 : 785.04 = 361.44 : x
  2. Step 2: Convert to fraction form
    524.16/785.04 = 361.44/x
  3. Step 3: Cross multiply
    524.16x = 785.04 × 361.44
  4. Step 4: Simplify right side
    524.16x = 283,744.86
  5. Step 5: Solve for x
    x = 283,744.86/524.16
  6. Step 6: Final answer
    x = 541.33

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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.