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Finding the Fourth Proportional to 536, 803.39 and 243.19

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Solution

The fourth proportional to 536, 803.39 and 243.19 is: 364.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    536 : 803.39 = 243.19 : x
  2. Step 2: Convert to fraction form
    536/803.39 = 243.19/x
  3. Step 3: Cross multiply
    536x = 803.39 × 243.19
  4. Step 4: Simplify right side
    536x = 195,371.18
  5. Step 5: Solve for x
    x = 195,371.18/536
  6. Step 6: Final answer
    x = 364.50

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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.