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Finding the Fourth Proportional to 540.20, 745.32 and 415.64

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Solution

The fourth proportional to 540.20, 745.32 and 415.64 is: 573.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.20 : 745.32 = 415.64 : x
  2. Step 2: Convert to fraction form
    540.20/745.32 = 415.64/x
  3. Step 3: Cross multiply
    540.20x = 745.32 × 415.64
  4. Step 4: Simplify right side
    540.20x = 309,784.80
  5. Step 5: Solve for x
    x = 309,784.80/540.20
  6. Step 6: Final answer
    x = 573.46

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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.