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Finding the Fourth Proportional to 392.21, 541.07 and 259.26

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Solution

The fourth proportional to 392.21, 541.07 and 259.26 is: 357.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.21 : 541.07 = 259.26 : x
  2. Step 2: Convert to fraction form
    392.21/541.07 = 259.26/x
  3. Step 3: Cross multiply
    392.21x = 541.07 × 259.26
  4. Step 4: Simplify right side
    392.21x = 140,277.81
  5. Step 5: Solve for x
    x = 140,277.81/392.21
  6. Step 6: Final answer
    x = 357.66

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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.