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Finding the Fourth Proportional to 541.84, 812.05 and 249.24

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Solution

The fourth proportional to 541.84, 812.05 and 249.24 is: 373.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.84 : 812.05 = 249.24 : x
  2. Step 2: Convert to fraction form
    541.84/812.05 = 249.24/x
  3. Step 3: Cross multiply
    541.84x = 812.05 × 249.24
  4. Step 4: Simplify right side
    541.84x = 202,395.34
  5. Step 5: Solve for x
    x = 202,395.34/541.84
  6. Step 6: Final answer
    x = 373.53

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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.