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Finding the Fourth Proportional to 383.36, 577.87 and 361.07

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Solution

The fourth proportional to 383.36, 577.87 and 361.07 is: 544.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.36 : 577.87 = 361.07 : x
  2. Step 2: Convert to fraction form
    383.36/577.87 = 361.07/x
  3. Step 3: Cross multiply
    383.36x = 577.87 × 361.07
  4. Step 4: Simplify right side
    383.36x = 208,648.63
  5. Step 5: Solve for x
    x = 208,648.63/383.36
  6. Step 6: Final answer
    x = 544.26

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