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Finding the Fourth Proportional to 350.68, 526.56 and 273.82

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Solution

The fourth proportional to 350.68, 526.56 and 273.82 is: 411.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.68 : 526.56 = 273.82 : x
  2. Step 2: Convert to fraction form
    350.68/526.56 = 273.82/x
  3. Step 3: Cross multiply
    350.68x = 526.56 × 273.82
  4. Step 4: Simplify right side
    350.68x = 144,182.66
  5. Step 5: Solve for x
    x = 144,182.66/350.68
  6. Step 6: Final answer
    x = 411.15

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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.