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Finding the Fourth Proportional to 540.24, 745.56 and 307.44

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Solution

The fourth proportional to 540.24, 745.56 and 307.44 is: 424.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.24 : 745.56 = 307.44 : x
  2. Step 2: Convert to fraction form
    540.24/745.56 = 307.44/x
  3. Step 3: Cross multiply
    540.24x = 745.56 × 307.44
  4. Step 4: Simplify right side
    540.24x = 229,214.97
  5. Step 5: Solve for x
    x = 229,214.97/540.24
  6. Step 6: Final answer
    x = 424.28

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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.