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Finding the Fourth Proportional to 416.58, 573.16 and 406.33

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Solution

The fourth proportional to 416.58, 573.16 and 406.33 is: 559.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.58 : 573.16 = 406.33 : x
  2. Step 2: Convert to fraction form
    416.58/573.16 = 406.33/x
  3. Step 3: Cross multiply
    416.58x = 573.16 × 406.33
  4. Step 4: Simplify right side
    416.58x = 232,892.10
  5. Step 5: Solve for x
    x = 232,892.10/416.58
  6. Step 6: Final answer
    x = 559.06

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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.