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Finding the Fourth Proportional to 349.91, 524.46 and 309.41

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Solution

The fourth proportional to 349.91, 524.46 and 309.41 is: 463.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.91 : 524.46 = 309.41 : x
  2. Step 2: Convert to fraction form
    349.91/524.46 = 309.41/x
  3. Step 3: Cross multiply
    349.91x = 524.46 × 309.41
  4. Step 4: Simplify right side
    349.91x = 162,273.17
  5. Step 5: Solve for x
    x = 162,273.17/349.91
  6. Step 6: Final answer
    x = 463.76

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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.