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Finding the Fourth Proportional to 423.59, 635.65 and 180.11

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Solution

The fourth proportional to 423.59, 635.65 and 180.11 is: 270.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.59 : 635.65 = 180.11 : x
  2. Step 2: Convert to fraction form
    423.59/635.65 = 180.11/x
  3. Step 3: Cross multiply
    423.59x = 635.65 × 180.11
  4. Step 4: Simplify right side
    423.59x = 114,490.32
  5. Step 5: Solve for x
    x = 114,490.32/423.59
  6. Step 6: Final answer
    x = 270.29

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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.