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Finding the Fourth Proportional to 385.93, 578.77 and 129.37

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Solution

The fourth proportional to 385.93, 578.77 and 129.37 is: 194.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.93 : 578.77 = 129.37 : x
  2. Step 2: Convert to fraction form
    385.93/578.77 = 129.37/x
  3. Step 3: Cross multiply
    385.93x = 578.77 × 129.37
  4. Step 4: Simplify right side
    385.93x = 74,874.03
  5. Step 5: Solve for x
    x = 74,874.03/385.93
  6. Step 6: Final answer
    x = 194.01

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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.