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Finding the Fourth Proportional to 540.85, 806.53 and 536.23

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Solution

The fourth proportional to 540.85, 806.53 and 536.23 is: 799.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.85 : 806.53 = 536.23 : x
  2. Step 2: Convert to fraction form
    540.85/806.53 = 536.23/x
  3. Step 3: Cross multiply
    540.85x = 806.53 × 536.23
  4. Step 4: Simplify right side
    540.85x = 432,479.54
  5. Step 5: Solve for x
    x = 432,479.54/540.85
  6. Step 6: Final answer
    x = 799.64

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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.