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Finding the Fourth Proportional to 541, 809.61 and 509.41

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Solution

The fourth proportional to 541, 809.61 and 509.41 is: 762.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    541 : 809.61 = 509.41 : x
  2. Step 2: Convert to fraction form
    541/809.61 = 509.41/x
  3. Step 3: Cross multiply
    541x = 809.61 × 509.41
  4. Step 4: Simplify right side
    541x = 412,423.43
  5. Step 5: Solve for x
    x = 412,423.43/541
  6. Step 6: Final answer
    x = 762.34

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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.