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Finding the Fourth Proportional to 536.85, 740.83 and 300.82

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Solution

The fourth proportional to 536.85, 740.83 and 300.82 is: 415.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.85 : 740.83 = 300.82 : x
  2. Step 2: Convert to fraction form
    536.85/740.83 = 300.82/x
  3. Step 3: Cross multiply
    536.85x = 740.83 × 300.82
  4. Step 4: Simplify right side
    536.85x = 222,856.48
  5. Step 5: Solve for x
    x = 222,856.48/536.85
  6. Step 6: Final answer
    x = 415.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.