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Finding the Fourth Proportional to 541.71, 747.78 and 367.16

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Solution

The fourth proportional to 541.71, 747.78 and 367.16 is: 506.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.71 : 747.78 = 367.16 : x
  2. Step 2: Convert to fraction form
    541.71/747.78 = 367.16/x
  3. Step 3: Cross multiply
    541.71x = 747.78 × 367.16
  4. Step 4: Simplify right side
    541.71x = 274,551.17
  5. Step 5: Solve for x
    x = 274,551.17/541.71
  6. Step 6: Final answer
    x = 506.82

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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.