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Finding the Fourth Proportional to 541.64, 811.76 and 444.21

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Solution

The fourth proportional to 541.64, 811.76 and 444.21 is: 665.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.64 : 811.76 = 444.21 : x
  2. Step 2: Convert to fraction form
    541.64/811.76 = 444.21/x
  3. Step 3: Cross multiply
    541.64x = 811.76 × 444.21
  4. Step 4: Simplify right side
    541.64x = 360,589.69
  5. Step 5: Solve for x
    x = 360,589.69/541.64
  6. Step 6: Final answer
    x = 665.74

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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.