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Finding the Fourth Proportional to 540.17, 809.64 and 251

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Solution

The fourth proportional to 540.17, 809.64 and 251 is: 376.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.17 : 809.64 = 251 : x
  2. Step 2: Convert to fraction form
    540.17/809.64 = 251/x
  3. Step 3: Cross multiply
    540.17x = 809.64 × 251
  4. Step 4: Simplify right side
    540.17x = 203,219.64
  5. Step 5: Solve for x
    x = 203,219.64/540.17
  6. Step 6: Final answer
    x = 376.21

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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.