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Finding the Fourth Proportional to 536.82, 742.53 and 440.83

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Solution

The fourth proportional to 536.82, 742.53 and 440.83 is: 609.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.82 : 742.53 = 440.83 : x
  2. Step 2: Convert to fraction form
    536.82/742.53 = 440.83/x
  3. Step 3: Cross multiply
    536.82x = 742.53 × 440.83
  4. Step 4: Simplify right side
    536.82x = 327,329.50
  5. Step 5: Solve for x
    x = 327,329.50/536.82
  6. Step 6: Final answer
    x = 609.76

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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.