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Finding the Fourth Proportional to 362.10, 539.24 and 349.94

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Solution

The fourth proportional to 362.10, 539.24 and 349.94 is: 521.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.10 : 539.24 = 349.94 : x
  2. Step 2: Convert to fraction form
    362.10/539.24 = 349.94/x
  3. Step 3: Cross multiply
    362.10x = 539.24 × 349.94
  4. Step 4: Simplify right side
    362.10x = 188,701.65
  5. Step 5: Solve for x
    x = 188,701.65/362.10
  6. Step 6: Final answer
    x = 521.13

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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.