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Finding the Fourth Proportional to 416.37, 573.63 and 396.93

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Solution

The fourth proportional to 416.37, 573.63 and 396.93 is: 546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.37 : 573.63 = 396.93 : x
  2. Step 2: Convert to fraction form
    416.37/573.63 = 396.93/x
  3. Step 3: Cross multiply
    416.37x = 573.63 × 396.93
  4. Step 4: Simplify right side
    416.37x = 227,690.96
  5. Step 5: Solve for x
    x = 227,690.96/416.37
  6. Step 6: Final answer
    x = 546.85

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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.