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Finding the Fourth Proportional to 365.70, 504.09 and 272.30

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Solution

The fourth proportional to 365.70, 504.09 and 272.30 is: 375.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.70 : 504.09 = 272.30 : x
  2. Step 2: Convert to fraction form
    365.70/504.09 = 272.30/x
  3. Step 3: Cross multiply
    365.70x = 504.09 × 272.30
  4. Step 4: Simplify right side
    365.70x = 137,261.19
  5. Step 5: Solve for x
    x = 137,261.19/365.70
  6. Step 6: Final answer
    x = 375.34

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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.