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Finding the Fourth Proportional to 369.10, 509.19 and 236.26

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Solution

The fourth proportional to 369.10, 509.19 and 236.26 is: 325.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.10 : 509.19 = 236.26 : x
  2. Step 2: Convert to fraction form
    369.10/509.19 = 236.26/x
  3. Step 3: Cross multiply
    369.10x = 509.19 × 236.26
  4. Step 4: Simplify right side
    369.10x = 120,297.50
  5. Step 5: Solve for x
    x = 120,297.50/369.10
  6. Step 6: Final answer
    x = 325.92

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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.