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Finding the Fourth Proportional to 540.16, 745.26 and 330.11

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Solution

The fourth proportional to 540.16, 745.26 and 330.11 is: 455.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.16 : 745.26 = 330.11 : x
  2. Step 2: Convert to fraction form
    540.16/745.26 = 330.11/x
  3. Step 3: Cross multiply
    540.16x = 745.26 × 330.11
  4. Step 4: Simplify right side
    540.16x = 246,017.78
  5. Step 5: Solve for x
    x = 246,017.78/540.16
  6. Step 6: Final answer
    x = 455.45

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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.