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Finding the Fourth Proportional to 362.47, 544.38 and 189.26

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Solution

The fourth proportional to 362.47, 544.38 and 189.26 is: 284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.47 : 544.38 = 189.26 : x
  2. Step 2: Convert to fraction form
    362.47/544.38 = 189.26/x
  3. Step 3: Cross multiply
    362.47x = 544.38 × 189.26
  4. Step 4: Simplify right side
    362.47x = 103,028.50
  5. Step 5: Solve for x
    x = 103,028.50/362.47
  6. Step 6: Final answer
    x = 284.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.