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Finding the Fourth Proportional to 392.41, 541.59 and 282.25

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Solution

The fourth proportional to 392.41, 541.59 and 282.25 is: 389.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.41 : 541.59 = 282.25 : x
  2. Step 2: Convert to fraction form
    392.41/541.59 = 282.25/x
  3. Step 3: Cross multiply
    392.41x = 541.59 × 282.25
  4. Step 4: Simplify right side
    392.41x = 152,865.13
  5. Step 5: Solve for x
    x = 152,865.13/392.41
  6. Step 6: Final answer
    x = 389.55

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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.