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Finding the Fourth Proportional to 536.87, 805.35 and 228.73

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Solution

The fourth proportional to 536.87, 805.35 and 228.73 is: 343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.87 : 805.35 = 228.73 : x
  2. Step 2: Convert to fraction form
    536.87/805.35 = 228.73/x
  3. Step 3: Cross multiply
    536.87x = 805.35 × 228.73
  4. Step 4: Simplify right side
    536.87x = 184,207.71
  5. Step 5: Solve for x
    x = 184,207.71/536.87
  6. Step 6: Final answer
    x = 343.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.