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Finding the Fourth Proportional to 540.85, 745.93 and 344.02

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Solution

The fourth proportional to 540.85, 745.93 and 344.02 is: 474.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.85 : 745.93 = 344.02 : x
  2. Step 2: Convert to fraction form
    540.85/745.93 = 344.02/x
  3. Step 3: Cross multiply
    540.85x = 745.93 × 344.02
  4. Step 4: Simplify right side
    540.85x = 256,614.84
  5. Step 5: Solve for x
    x = 256,614.84/540.85
  6. Step 6: Final answer
    x = 474.47

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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.