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Finding the Fourth Proportional to 617.96, 852.72 and 369.23

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Solution

The fourth proportional to 617.96, 852.72 and 369.23 is: 509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.96 : 852.72 = 369.23 : x
  2. Step 2: Convert to fraction form
    617.96/852.72 = 369.23/x
  3. Step 3: Cross multiply
    617.96x = 852.72 × 369.23
  4. Step 4: Simplify right side
    617.96x = 314,845.54
  5. Step 5: Solve for x
    x = 314,845.54/617.96
  6. Step 6: Final answer
    x = 509.50

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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.