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Finding the Fourth Proportional to 541.84, 748.02 and 367.42

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Solution

The fourth proportional to 541.84, 748.02 and 367.42 is: 507.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.84 : 748.02 = 367.42 : x
  2. Step 2: Convert to fraction form
    541.84/748.02 = 367.42/x
  3. Step 3: Cross multiply
    541.84x = 748.02 × 367.42
  4. Step 4: Simplify right side
    541.84x = 274,837.51
  5. Step 5: Solve for x
    x = 274,837.51/541.84
  6. Step 6: Final answer
    x = 507.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.