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Finding the Fourth Proportional to 539.94, 806.00 and 501.90

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Solution

The fourth proportional to 539.94, 806.00 and 501.90 is: 749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.94 : 806.00 = 501.90 : x
  2. Step 2: Convert to fraction form
    539.94/806.00 = 501.90/x
  3. Step 3: Cross multiply
    539.94x = 806.00 × 501.90
  4. Step 4: Simplify right side
    539.94x = 404,528.89
  5. Step 5: Solve for x
    x = 404,528.89/539.94
  6. Step 6: Final answer
    x = 749.21

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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.