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Finding the Fourth Proportional to 524.54, 786.18 and 361.64

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Solution

The fourth proportional to 524.54, 786.18 and 361.64 is: 542.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.54 : 786.18 = 361.64 : x
  2. Step 2: Convert to fraction form
    524.54/786.18 = 361.64/x
  3. Step 3: Cross multiply
    524.54x = 786.18 × 361.64
  4. Step 4: Simplify right side
    524.54x = 284,314.14
  5. Step 5: Solve for x
    x = 284,314.14/524.54
  6. Step 6: Final answer
    x = 542.03

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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.