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Finding the Fourth Proportional to 406.26, 612.41 and 382.77

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Solution

The fourth proportional to 406.26, 612.41 and 382.77 is: 577.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.26 : 612.41 = 382.77 : x
  2. Step 2: Convert to fraction form
    406.26/612.41 = 382.77/x
  3. Step 3: Cross multiply
    406.26x = 612.41 × 382.77
  4. Step 4: Simplify right side
    406.26x = 234,410.26
  5. Step 5: Solve for x
    x = 234,410.26/406.26
  6. Step 6: Final answer
    x = 577.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.