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Finding the Fourth Proportional to 382.32, 569.59 and 369.27

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Solution

The fourth proportional to 382.32, 569.59 and 369.27 is: 550.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.32 : 569.59 = 369.27 : x
  2. Step 2: Convert to fraction form
    382.32/569.59 = 369.27/x
  3. Step 3: Cross multiply
    382.32x = 569.59 × 369.27
  4. Step 4: Simplify right side
    382.32x = 210,331.58
  5. Step 5: Solve for x
    x = 210,331.58/382.32
  6. Step 6: Final answer
    x = 550.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.