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Finding the Fourth Proportional to 536.17, 739.35 and 367.94

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Solution

The fourth proportional to 536.17, 739.35 and 367.94 is: 507.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.17 : 739.35 = 367.94 : x
  2. Step 2: Convert to fraction form
    536.17/739.35 = 367.94/x
  3. Step 3: Cross multiply
    536.17x = 739.35 × 367.94
  4. Step 4: Simplify right side
    536.17x = 272,032.74
  5. Step 5: Solve for x
    x = 272,032.74/536.17
  6. Step 6: Final answer
    x = 507.37

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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.