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Finding the Fourth Proportional to 541.44, 809.76 and 484

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Solution

The fourth proportional to 541.44, 809.76 and 484 is: 723.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.44 : 809.76 = 484 : x
  2. Step 2: Convert to fraction form
    541.44/809.76 = 484/x
  3. Step 3: Cross multiply
    541.44x = 809.76 × 484
  4. Step 4: Simplify right side
    541.44x = 391,923.84
  5. Step 5: Solve for x
    x = 391,923.84/541.44
  6. Step 6: Final answer
    x = 723.85

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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.