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Finding the Fourth Proportional to 419.05, 577.78 and 360.73

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Solution

The fourth proportional to 419.05, 577.78 and 360.73 is: 497.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.05 : 577.78 = 360.73 : x
  2. Step 2: Convert to fraction form
    419.05/577.78 = 360.73/x
  3. Step 3: Cross multiply
    419.05x = 577.78 × 360.73
  4. Step 4: Simplify right side
    419.05x = 208,422.58
  5. Step 5: Solve for x
    x = 208,422.58/419.05
  6. Step 6: Final answer
    x = 497.37

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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.