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Finding the Fourth Proportional to 385.85, 578.52 and 180.32

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Solution

The fourth proportional to 385.85, 578.52 and 180.32 is: 270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.85 : 578.52 = 180.32 : x
  2. Step 2: Convert to fraction form
    385.85/578.52 = 180.32/x
  3. Step 3: Cross multiply
    385.85x = 578.52 × 180.32
  4. Step 4: Simplify right side
    385.85x = 104,315.83
  5. Step 5: Solve for x
    x = 104,315.83/385.85
  6. Step 6: Final answer
    x = 270.35

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