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Finding the Fourth Proportional to 369.01, 506.27 and 359.43

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Solution

The fourth proportional to 369.01, 506.27 and 359.43 is: 493.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.01 : 506.27 = 359.43 : x
  2. Step 2: Convert to fraction form
    369.01/506.27 = 359.43/x
  3. Step 3: Cross multiply
    369.01x = 506.27 × 359.43
  4. Step 4: Simplify right side
    369.01x = 181,968.63
  5. Step 5: Solve for x
    x = 181,968.63/369.01
  6. Step 6: Final answer
    x = 493.13

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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.