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Finding the Fourth Proportional to 349.19, 524.39 and 333.80

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Solution

The fourth proportional to 349.19, 524.39 and 333.80 is: 501.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.19 : 524.39 = 333.80 : x
  2. Step 2: Convert to fraction form
    349.19/524.39 = 333.80/x
  3. Step 3: Cross multiply
    349.19x = 524.39 × 333.80
  4. Step 4: Simplify right side
    349.19x = 175,037.09
  5. Step 5: Solve for x
    x = 175,037.09/349.19
  6. Step 6: Final answer
    x = 501.27

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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.