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Finding the Fourth Proportional to 681.36, 942.16 and 541.23

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Solution

The fourth proportional to 681.36, 942.16 and 541.23 is: 748.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.36 : 942.16 = 541.23 : x
  2. Step 2: Convert to fraction form
    681.36/942.16 = 541.23/x
  3. Step 3: Cross multiply
    681.36x = 942.16 × 541.23
  4. Step 4: Simplify right side
    681.36x = 509,925.93
  5. Step 5: Solve for x
    x = 509,925.93/681.36
  6. Step 6: Final answer
    x = 748.39

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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.