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Finding the Fourth Proportional to 538.60, 805.98 and 367.72

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Solution

The fourth proportional to 538.60, 805.98 and 367.72 is: 550.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.60 : 805.98 = 367.72 : x
  2. Step 2: Convert to fraction form
    538.60/805.98 = 367.72/x
  3. Step 3: Cross multiply
    538.60x = 805.98 × 367.72
  4. Step 4: Simplify right side
    538.60x = 296,374.97
  5. Step 5: Solve for x
    x = 296,374.97/538.60
  6. Step 6: Final answer
    x = 550.27

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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.