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Finding the Fourth Proportional to 385.70, 578.66 and 180.39

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Solution

The fourth proportional to 385.70, 578.66 and 180.39 is: 270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.70 : 578.66 = 180.39 : x
  2. Step 2: Convert to fraction form
    385.70/578.66 = 180.39/x
  3. Step 3: Cross multiply
    385.70x = 578.66 × 180.39
  4. Step 4: Simplify right side
    385.70x = 104,384.48
  5. Step 5: Solve for x
    x = 104,384.48/385.70
  6. Step 6: Final answer
    x = 270.64

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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.