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Finding the Fourth Proportional to 536.72, 804.93 and 341.44

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Solution

The fourth proportional to 536.72, 804.93 and 341.44 is: 512.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.72 : 804.93 = 341.44 : x
  2. Step 2: Convert to fraction form
    536.72/804.93 = 341.44/x
  3. Step 3: Cross multiply
    536.72x = 804.93 × 341.44
  4. Step 4: Simplify right side
    536.72x = 274,831.27
  5. Step 5: Solve for x
    x = 274,831.27/536.72
  6. Step 6: Final answer
    x = 512.06

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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.