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Finding the Fourth Proportional to 369.56, 506.68 and 362.97

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Solution

The fourth proportional to 369.56, 506.68 and 362.97 is: 497.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.56 : 506.68 = 362.97 : x
  2. Step 2: Convert to fraction form
    369.56/506.68 = 362.97/x
  3. Step 3: Cross multiply
    369.56x = 506.68 × 362.97
  4. Step 4: Simplify right side
    369.56x = 183,909.64
  5. Step 5: Solve for x
    x = 183,909.64/369.56
  6. Step 6: Final answer
    x = 497.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.