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Finding the Fourth Proportional to 536.45, 804.44 and 228.14

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Solution

The fourth proportional to 536.45, 804.44 and 228.14 is: 342.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.45 : 804.44 = 228.14 : x
  2. Step 2: Convert to fraction form
    536.45/804.44 = 228.14/x
  3. Step 3: Cross multiply
    536.45x = 804.44 × 228.14
  4. Step 4: Simplify right side
    536.45x = 183,521.49
  5. Step 5: Solve for x
    x = 183,521.49/536.45
  6. Step 6: Final answer
    x = 342.10

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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.