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Finding the Fourth Proportional to 466.30, 698.91 and 272.98

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Solution

The fourth proportional to 466.30, 698.91 and 272.98 is: 409.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.30 : 698.91 = 272.98 : x
  2. Step 2: Convert to fraction form
    466.30/698.91 = 272.98/x
  3. Step 3: Cross multiply
    466.30x = 698.91 × 272.98
  4. Step 4: Simplify right side
    466.30x = 190,788.45
  5. Step 5: Solve for x
    x = 190,788.45/466.30
  6. Step 6: Final answer
    x = 409.15

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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.