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Finding the Fourth Proportional to 466.46, 698.63 and 270.98

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Solution

The fourth proportional to 466.46, 698.63 and 270.98 is: 405.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.46 : 698.63 = 270.98 : x
  2. Step 2: Convert to fraction form
    466.46/698.63 = 270.98/x
  3. Step 3: Cross multiply
    466.46x = 698.63 × 270.98
  4. Step 4: Simplify right side
    466.46x = 189,315.15
  5. Step 5: Solve for x
    x = 189,315.15/466.46
  6. Step 6: Final answer
    x = 405.85

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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.