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Finding the Fourth Proportional to 540.13, 745.36 and 304.09

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Solution

The fourth proportional to 540.13, 745.36 and 304.09 is: 419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.13 : 745.36 = 304.09 : x
  2. Step 2: Convert to fraction form
    540.13/745.36 = 304.09/x
  3. Step 3: Cross multiply
    540.13x = 745.36 × 304.09
  4. Step 4: Simplify right side
    540.13x = 226,656.52
  5. Step 5: Solve for x
    x = 226,656.52/540.13
  6. Step 6: Final answer
    x = 419.64

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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.