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Finding the Fourth Proportional to 369.99, 510.57 and 239.04

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Solution

The fourth proportional to 369.99, 510.57 and 239.04 is: 329.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.99 : 510.57 = 239.04 : x
  2. Step 2: Convert to fraction form
    369.99/510.57 = 239.04/x
  3. Step 3: Cross multiply
    369.99x = 510.57 × 239.04
  4. Step 4: Simplify right side
    369.99x = 122,046.65
  5. Step 5: Solve for x
    x = 122,046.65/369.99
  6. Step 6: Final answer
    x = 329.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.