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Finding the Fourth Proportional to 524.48, 786.42 and 362.24

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Solution

The fourth proportional to 524.48, 786.42 and 362.24 is: 543.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.48 : 786.42 = 362.24 : x
  2. Step 2: Convert to fraction form
    524.48/786.42 = 362.24/x
  3. Step 3: Cross multiply
    524.48x = 786.42 × 362.24
  4. Step 4: Simplify right side
    524.48x = 284,872.78
  5. Step 5: Solve for x
    x = 284,872.78/524.48
  6. Step 6: Final answer
    x = 543.15

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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.