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Finding the Fourth Proportional to 416.05, 573.82 and 388.10

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Solution

The fourth proportional to 416.05, 573.82 and 388.10 is: 535.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.05 : 573.82 = 388.10 : x
  2. Step 2: Convert to fraction form
    416.05/573.82 = 388.10/x
  3. Step 3: Cross multiply
    416.05x = 573.82 × 388.10
  4. Step 4: Simplify right side
    416.05x = 222,700.01
  5. Step 5: Solve for x
    x = 222,700.01/416.05
  6. Step 6: Final answer
    x = 535.28

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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.