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Finding the Fourth Proportional to 349.50, 522.18 and 337.38

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Solution

The fourth proportional to 349.50, 522.18 and 337.38 is: 504.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.50 : 522.18 = 337.38 : x
  2. Step 2: Convert to fraction form
    349.50/522.18 = 337.38/x
  3. Step 3: Cross multiply
    349.50x = 522.18 × 337.38
  4. Step 4: Simplify right side
    349.50x = 176,173.09
  5. Step 5: Solve for x
    x = 176,173.09/349.50
  6. Step 6: Final answer
    x = 504.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.