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Finding the Fourth Proportional to 366.19, 504.89 and 287.26

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Solution

The fourth proportional to 366.19, 504.89 and 287.26 is: 396.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.19 : 504.89 = 287.26 : x
  2. Step 2: Convert to fraction form
    366.19/504.89 = 287.26/x
  3. Step 3: Cross multiply
    366.19x = 504.89 × 287.26
  4. Step 4: Simplify right side
    366.19x = 145,033.08
  5. Step 5: Solve for x
    x = 145,033.08/366.19
  6. Step 6: Final answer
    x = 396.06

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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.