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Finding the Fourth Proportional to 424.45, 635.95 and 180.64

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Solution

The fourth proportional to 424.45, 635.95 and 180.64 is: 270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.45 : 635.95 = 180.64 : x
  2. Step 2: Convert to fraction form
    424.45/635.95 = 180.64/x
  3. Step 3: Cross multiply
    424.45x = 635.95 × 180.64
  4. Step 4: Simplify right side
    424.45x = 114,878.01
  5. Step 5: Solve for x
    x = 114,878.01/424.45
  6. Step 6: Final answer
    x = 270.65

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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.