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Finding the Fourth Proportional to 541.09, 809.95 and 293.68

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Solution

The fourth proportional to 541.09, 809.95 and 293.68 is: 439.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.09 : 809.95 = 293.68 : x
  2. Step 2: Convert to fraction form
    541.09/809.95 = 293.68/x
  3. Step 3: Cross multiply
    541.09x = 809.95 × 293.68
  4. Step 4: Simplify right side
    541.09x = 237,862.39
  5. Step 5: Solve for x
    x = 237,862.39/541.09
  6. Step 6: Final answer
    x = 439.60

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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.