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Finding the Fourth Proportional to 538.73, 744.06 and 392.02

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Solution

The fourth proportional to 538.73, 744.06 and 392.02 is: 541.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.73 : 744.06 = 392.02 : x
  2. Step 2: Convert to fraction form
    538.73/744.06 = 392.02/x
  3. Step 3: Cross multiply
    538.73x = 744.06 × 392.02
  4. Step 4: Simplify right side
    538.73x = 291,686.40
  5. Step 5: Solve for x
    x = 291,686.40/538.73
  6. Step 6: Final answer
    x = 541.43

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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.