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Finding the Fourth Proportional to 397.24, 546.78 and 286.54

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Solution

The fourth proportional to 397.24, 546.78 and 286.54 is: 394.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.24 : 546.78 = 286.54 : x
  2. Step 2: Convert to fraction form
    397.24/546.78 = 286.54/x
  3. Step 3: Cross multiply
    397.24x = 546.78 × 286.54
  4. Step 4: Simplify right side
    397.24x = 156,674.34
  5. Step 5: Solve for x
    x = 156,674.34/397.24
  6. Step 6: Final answer
    x = 394.41

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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.