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Finding the Fourth Proportional to 392.50, 541.65 and 237.25

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Solution

The fourth proportional to 392.50, 541.65 and 237.25 is: 327.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.50 : 541.65 = 237.25 : x
  2. Step 2: Convert to fraction form
    392.50/541.65 = 237.25/x
  3. Step 3: Cross multiply
    392.50x = 541.65 × 237.25
  4. Step 4: Simplify right side
    392.50x = 128,506.46
  5. Step 5: Solve for x
    x = 128,506.46/392.50
  6. Step 6: Final answer
    x = 327.41

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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.