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Finding the Fourth Proportional to 423.46, 635.40 and 180.02

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Solution

The fourth proportional to 423.46, 635.40 and 180.02 is: 270.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.46 : 635.40 = 180.02 : x
  2. Step 2: Convert to fraction form
    423.46/635.40 = 180.02/x
  3. Step 3: Cross multiply
    423.46x = 635.40 × 180.02
  4. Step 4: Simplify right side
    423.46x = 114,384.71
  5. Step 5: Solve for x
    x = 114,384.71/423.46
  6. Step 6: Final answer
    x = 270.12

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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.