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Finding the Fourth Proportional to 539.10, 806.73 and 368.22

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Solution

The fourth proportional to 539.10, 806.73 and 368.22 is: 551.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.10 : 806.73 = 368.22 : x
  2. Step 2: Convert to fraction form
    539.10/806.73 = 368.22/x
  3. Step 3: Cross multiply
    539.10x = 806.73 × 368.22
  4. Step 4: Simplify right side
    539.10x = 297,054.12
  5. Step 5: Solve for x
    x = 297,054.12/539.10
  6. Step 6: Final answer
    x = 551.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.