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Finding the Fourth Proportional to 392.34, 541.40 and 217.65

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Solution

The fourth proportional to 392.34, 541.40 and 217.65 is: 300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.34 : 541.40 = 217.65 : x
  2. Step 2: Convert to fraction form
    392.34/541.40 = 217.65/x
  3. Step 3: Cross multiply
    392.34x = 541.40 × 217.65
  4. Step 4: Simplify right side
    392.34x = 117,835.71
  5. Step 5: Solve for x
    x = 117,835.71/392.34
  6. Step 6: Final answer
    x = 300.34

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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.