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Finding the Fourth Proportional to 423.85, 635.91 and 293.98

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Solution

The fourth proportional to 423.85, 635.91 and 293.98 is: 441.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.85 : 635.91 = 293.98 : x
  2. Step 2: Convert to fraction form
    423.85/635.91 = 293.98/x
  3. Step 3: Cross multiply
    423.85x = 635.91 × 293.98
  4. Step 4: Simplify right side
    423.85x = 186,944.82
  5. Step 5: Solve for x
    x = 186,944.82/423.85
  6. Step 6: Final answer
    x = 441.06

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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.