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Finding the Fourth Proportional to 406.46, 606.54 and 362.78

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Solution

The fourth proportional to 406.46, 606.54 and 362.78 is: 541.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.46 : 606.54 = 362.78 : x
  2. Step 2: Convert to fraction form
    406.46/606.54 = 362.78/x
  3. Step 3: Cross multiply
    406.46x = 606.54 × 362.78
  4. Step 4: Simplify right side
    406.46x = 220,040.58
  5. Step 5: Solve for x
    x = 220,040.58/406.46
  6. Step 6: Final answer
    x = 541.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.