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Finding the Fourth Proportional to 349.43, 524.25 and 154.35

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Solution

The fourth proportional to 349.43, 524.25 and 154.35 is: 231.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.43 : 524.25 = 154.35 : x
  2. Step 2: Convert to fraction form
    349.43/524.25 = 154.35/x
  3. Step 3: Cross multiply
    349.43x = 524.25 × 154.35
  4. Step 4: Simplify right side
    349.43x = 80,917.99
  5. Step 5: Solve for x
    x = 80,917.99/349.43
  6. Step 6: Final answer
    x = 231.57

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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.