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Finding the Fourth Proportional to 540.23, 745.88 and 415.66

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Solution

The fourth proportional to 540.23, 745.88 and 415.66 is: 573.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.23 : 745.88 = 415.66 : x
  2. Step 2: Convert to fraction form
    540.23/745.88 = 415.66/x
  3. Step 3: Cross multiply
    540.23x = 745.88 × 415.66
  4. Step 4: Simplify right side
    540.23x = 310,028.54
  5. Step 5: Solve for x
    x = 310,028.54/540.23
  6. Step 6: Final answer
    x = 573.88

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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.