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Finding the Fourth Proportional to 540.50, 746.04 and 365.80

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Solution

The fourth proportional to 540.50, 746.04 and 365.80 is: 504.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.50 : 746.04 = 365.80 : x
  2. Step 2: Convert to fraction form
    540.50/746.04 = 365.80/x
  3. Step 3: Cross multiply
    540.50x = 746.04 × 365.80
  4. Step 4: Simplify right side
    540.50x = 272,901.43
  5. Step 5: Solve for x
    x = 272,901.43/540.50
  6. Step 6: Final answer
    x = 504.91

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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.