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Finding the Fourth Proportional to 540.74, 745.76 and 333.38

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Solution

The fourth proportional to 540.74, 745.76 and 333.38 is: 459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.74 : 745.76 = 333.38 : x
  2. Step 2: Convert to fraction form
    540.74/745.76 = 333.38/x
  3. Step 3: Cross multiply
    540.74x = 745.76 × 333.38
  4. Step 4: Simplify right side
    540.74x = 248,621.47
  5. Step 5: Solve for x
    x = 248,621.47/540.74
  6. Step 6: Final answer
    x = 459.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.