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Finding the Fourth Proportional to 540.23, 745.02 and 461.84

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Solution

The fourth proportional to 540.23, 745.02 and 461.84 is: 636.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.23 : 745.02 = 461.84 : x
  2. Step 2: Convert to fraction form
    540.23/745.02 = 461.84/x
  3. Step 3: Cross multiply
    540.23x = 745.02 × 461.84
  4. Step 4: Simplify right side
    540.23x = 344,076.31
  5. Step 5: Solve for x
    x = 344,076.31/540.23
  6. Step 6: Final answer
    x = 636.91

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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.