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Finding the Fourth Proportional to 392.49, 541.65 and 215.46

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Solution

The fourth proportional to 392.49, 541.65 and 215.46 is: 297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.49 : 541.65 = 215.46 : x
  2. Step 2: Convert to fraction form
    392.49/541.65 = 215.46/x
  3. Step 3: Cross multiply
    392.49x = 541.65 × 215.46
  4. Step 4: Simplify right side
    392.49x = 116,703.91
  5. Step 5: Solve for x
    x = 116,703.91/392.49
  6. Step 6: Final answer
    x = 297.34

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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.