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Finding the Fourth Proportional to 540.36, 745.56 and 307.47

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Solution

The fourth proportional to 540.36, 745.56 and 307.47 is: 424.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.36 : 745.56 = 307.47 : x
  2. Step 2: Convert to fraction form
    540.36/745.56 = 307.47/x
  3. Step 3: Cross multiply
    540.36x = 745.56 × 307.47
  4. Step 4: Simplify right side
    540.36x = 229,237.33
  5. Step 5: Solve for x
    x = 229,237.33/540.36
  6. Step 6: Final answer
    x = 424.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.