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Finding the Fourth Proportional to 541.92, 809.40 and 538.56

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Solution

The fourth proportional to 541.92, 809.40 and 538.56 is: 804.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.92 : 809.40 = 538.56 : x
  2. Step 2: Convert to fraction form
    541.92/809.40 = 538.56/x
  3. Step 3: Cross multiply
    541.92x = 809.40 × 538.56
  4. Step 4: Simplify right side
    541.92x = 435,910.46
  5. Step 5: Solve for x
    x = 435,910.46/541.92
  6. Step 6: Final answer
    x = 804.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.