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Finding the Fourth Proportional to 541.84, 746.76 and 394.24

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Solution

The fourth proportional to 541.84, 746.76 and 394.24 is: 543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.84 : 746.76 = 394.24 : x
  2. Step 2: Convert to fraction form
    541.84/746.76 = 394.24/x
  3. Step 3: Cross multiply
    541.84x = 746.76 × 394.24
  4. Step 4: Simplify right side
    541.84x = 294,402.66
  5. Step 5: Solve for x
    x = 294,402.66/541.84
  6. Step 6: Final answer
    x = 543.34

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