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Finding the Fourth Proportional to 538.45, 806.36 and 364.50

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Solution

The fourth proportional to 538.45, 806.36 and 364.50 is: 545.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.45 : 806.36 = 364.50 : x
  2. Step 2: Convert to fraction form
    538.45/806.36 = 364.50/x
  3. Step 3: Cross multiply
    538.45x = 806.36 × 364.50
  4. Step 4: Simplify right side
    538.45x = 293,916.40
  5. Step 5: Solve for x
    x = 293,916.40/538.45
  6. Step 6: Final answer
    x = 545.86

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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.