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Finding the Fourth Proportional to 466.41, 698.33 and 312.12

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Solution

The fourth proportional to 466.41, 698.33 and 312.12 is: 467.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.41 : 698.33 = 312.12 : x
  2. Step 2: Convert to fraction form
    466.41/698.33 = 312.12/x
  3. Step 3: Cross multiply
    466.41x = 698.33 × 312.12
  4. Step 4: Simplify right side
    466.41x = 217,961.20
  5. Step 5: Solve for x
    x = 217,961.20/466.41
  6. Step 6: Final answer
    x = 467.32

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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.