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Finding the Fourth Proportional to 416.08, 573.93 and 333.07

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Solution

The fourth proportional to 416.08, 573.93 and 333.07 is: 459.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.08 : 573.93 = 333.07 : x
  2. Step 2: Convert to fraction form
    416.08/573.93 = 333.07/x
  3. Step 3: Cross multiply
    416.08x = 573.93 × 333.07
  4. Step 4: Simplify right side
    416.08x = 191,158.87
  5. Step 5: Solve for x
    x = 191,158.87/416.08
  6. Step 6: Final answer
    x = 459.43

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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.