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Finding the Fourth Proportional to 369.68, 512.62 and 357.38

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Solution

The fourth proportional to 369.68, 512.62 and 357.38 is: 495.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.68 : 512.62 = 357.38 : x
  2. Step 2: Convert to fraction form
    369.68/512.62 = 357.38/x
  3. Step 3: Cross multiply
    369.68x = 512.62 × 357.38
  4. Step 4: Simplify right side
    369.68x = 183,200.14
  5. Step 5: Solve for x
    x = 183,200.14/369.68
  6. Step 6: Final answer
    x = 495.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.