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Finding the Fourth Proportional to 423.58, 634.80 and 180.04

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Solution

The fourth proportional to 423.58, 634.80 and 180.04 is: 269.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.58 : 634.80 = 180.04 : x
  2. Step 2: Convert to fraction form
    423.58/634.80 = 180.04/x
  3. Step 3: Cross multiply
    423.58x = 634.80 × 180.04
  4. Step 4: Simplify right side
    423.58x = 114,289.39
  5. Step 5: Solve for x
    x = 114,289.39/423.58
  6. Step 6: Final answer
    x = 269.82

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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.