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Finding the Fourth Proportional to 541.37, 812.40 and 298.06

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Solution

The fourth proportional to 541.37, 812.40 and 298.06 is: 447.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.37 : 812.40 = 298.06 : x
  2. Step 2: Convert to fraction form
    541.37/812.40 = 298.06/x
  3. Step 3: Cross multiply
    541.37x = 812.40 × 298.06
  4. Step 4: Simplify right side
    541.37x = 242,143.94
  5. Step 5: Solve for x
    x = 242,143.94/541.37
  6. Step 6: Final answer
    x = 447.28

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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.