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Finding the Fourth Proportional to 423.93, 635.91 and 180.21

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Solution

The fourth proportional to 423.93, 635.91 and 180.21 is: 270.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.93 : 635.91 = 180.21 : x
  2. Step 2: Convert to fraction form
    423.93/635.91 = 180.21/x
  3. Step 3: Cross multiply
    423.93x = 635.91 × 180.21
  4. Step 4: Simplify right side
    423.93x = 114,597.34
  5. Step 5: Solve for x
    x = 114,597.34/423.93
  6. Step 6: Final answer
    x = 270.32

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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.