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Finding the Fourth Proportional to 541.40, 811.02 and 444.20

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Solution

The fourth proportional to 541.40, 811.02 and 444.20 is: 665.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.40 : 811.02 = 444.20 : x
  2. Step 2: Convert to fraction form
    541.40/811.02 = 444.20/x
  3. Step 3: Cross multiply
    541.40x = 811.02 × 444.20
  4. Step 4: Simplify right side
    541.40x = 360,255.08
  5. Step 5: Solve for x
    x = 360,255.08/541.40
  6. Step 6: Final answer
    x = 665.41

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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.