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Finding the Fourth Proportional to 362.94, 544.32 and 189.40

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Solution

The fourth proportional to 362.94, 544.32 and 189.40 is: 284.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.94 : 544.32 = 189.40 : x
  2. Step 2: Convert to fraction form
    362.94/544.32 = 189.40/x
  3. Step 3: Cross multiply
    362.94x = 544.32 × 189.40
  4. Step 4: Simplify right side
    362.94x = 103,094.21
  5. Step 5: Solve for x
    x = 103,094.21/362.94
  6. Step 6: Final answer
    x = 284.05

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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.