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Finding the Fourth Proportional to 371.97, 556.77 and 285.63

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Solution

The fourth proportional to 371.97, 556.77 and 285.63 is: 427.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.97 : 556.77 = 285.63 : x
  2. Step 2: Convert to fraction form
    371.97/556.77 = 285.63/x
  3. Step 3: Cross multiply
    371.97x = 556.77 × 285.63
  4. Step 4: Simplify right side
    371.97x = 159,030.22
  5. Step 5: Solve for x
    x = 159,030.22/371.97
  6. Step 6: Final answer
    x = 427.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.