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Finding the Fourth Proportional to 541.23, 746.39 and 364.00

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Solution

The fourth proportional to 541.23, 746.39 and 364.00 is: 501.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.23 : 746.39 = 364.00 : x
  2. Step 2: Convert to fraction form
    541.23/746.39 = 364.00/x
  3. Step 3: Cross multiply
    541.23x = 746.39 × 364.00
  4. Step 4: Simplify right side
    541.23x = 271,683.64
  5. Step 5: Solve for x
    x = 271,683.64/541.23
  6. Step 6: Final answer
    x = 501.97

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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.