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Finding the Fourth Proportional to 418.06, 577.07 and 260.82

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Solution

The fourth proportional to 418.06, 577.07 and 260.82 is: 360.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.06 : 577.07 = 260.82 : x
  2. Step 2: Convert to fraction form
    418.06/577.07 = 260.82/x
  3. Step 3: Cross multiply
    418.06x = 577.07 × 260.82
  4. Step 4: Simplify right side
    418.06x = 150,512.54
  5. Step 5: Solve for x
    x = 150,512.54/418.06
  6. Step 6: Final answer
    x = 360.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.