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Finding the Fourth Proportional to 540.24, 745.52 and 304.20

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Solution

The fourth proportional to 540.24, 745.52 and 304.20 is: 419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.24 : 745.52 = 304.20 : x
  2. Step 2: Convert to fraction form
    540.24/745.52 = 304.20/x
  3. Step 3: Cross multiply
    540.24x = 745.52 × 304.20
  4. Step 4: Simplify right side
    540.24x = 226,787.18
  5. Step 5: Solve for x
    x = 226,787.18/540.24
  6. Step 6: Final answer
    x = 419.79

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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.