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Finding the Fourth Proportional to 536.75, 804.60 and 341.99

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Solution

The fourth proportional to 536.75, 804.60 and 341.99 is: 512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.75 : 804.60 = 341.99 : x
  2. Step 2: Convert to fraction form
    536.75/804.60 = 341.99/x
  3. Step 3: Cross multiply
    536.75x = 804.60 × 341.99
  4. Step 4: Simplify right side
    536.75x = 275,161.13
  5. Step 5: Solve for x
    x = 275,161.13/536.75
  6. Step 6: Final answer
    x = 512.65

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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.