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Finding the Fourth Proportional to 540.29, 745.61 and 304.25

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Solution

The fourth proportional to 540.29, 745.61 and 304.25 is: 419.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.29 : 745.61 = 304.25 : x
  2. Step 2: Convert to fraction form
    540.29/745.61 = 304.25/x
  3. Step 3: Cross multiply
    540.29x = 745.61 × 304.25
  4. Step 4: Simplify right side
    540.29x = 226,850.14
  5. Step 5: Solve for x
    x = 226,850.14/540.29
  6. Step 6: Final answer
    x = 419.87

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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.