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Finding the Fourth Proportional to 540.09, 806.19 and 502.11

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Solution

The fourth proportional to 540.09, 806.19 and 502.11 is: 749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.09 : 806.19 = 502.11 : x
  2. Step 2: Convert to fraction form
    540.09/806.19 = 502.11/x
  3. Step 3: Cross multiply
    540.09x = 806.19 × 502.11
  4. Step 4: Simplify right side
    540.09x = 404,796.06
  5. Step 5: Solve for x
    x = 404,796.06/540.09
  6. Step 6: Final answer
    x = 749.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.