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Finding the Fourth Proportional to 517, 775.61 and 273.46

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Solution

The fourth proportional to 517, 775.61 and 273.46 is: 410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    517 : 775.61 = 273.46 : x
  2. Step 2: Convert to fraction form
    517/775.61 = 273.46/x
  3. Step 3: Cross multiply
    517x = 775.61 × 273.46
  4. Step 4: Simplify right side
    517x = 212,098.31
  5. Step 5: Solve for x
    x = 212,098.31/517
  6. Step 6: Final answer
    x = 410.25

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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.