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Finding the Fourth Proportional to 349.23, 524.16 and 284.97

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Solution

The fourth proportional to 349.23, 524.16 and 284.97 is: 427.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.23 : 524.16 = 284.97 : x
  2. Step 2: Convert to fraction form
    349.23/524.16 = 284.97/x
  3. Step 3: Cross multiply
    349.23x = 524.16 × 284.97
  4. Step 4: Simplify right side
    349.23x = 149,369.88
  5. Step 5: Solve for x
    x = 149,369.88/349.23
  6. Step 6: Final answer
    x = 427.71

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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.