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Finding the Fourth Proportional to 416.44, 573.60 and 298.24

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Solution

The fourth proportional to 416.44, 573.60 and 298.24 is: 410.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.44 : 573.60 = 298.24 : x
  2. Step 2: Convert to fraction form
    416.44/573.60 = 298.24/x
  3. Step 3: Cross multiply
    416.44x = 573.60 × 298.24
  4. Step 4: Simplify right side
    416.44x = 171,070.46
  5. Step 5: Solve for x
    x = 171,070.46/416.44
  6. Step 6: Final answer
    x = 410.79

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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.