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Finding the Fourth Proportional to 466.44, 698.94 and 344.13

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Solution

The fourth proportional to 466.44, 698.94 and 344.13 is: 515.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.44 : 698.94 = 344.13 : x
  2. Step 2: Convert to fraction form
    466.44/698.94 = 344.13/x
  3. Step 3: Cross multiply
    466.44x = 698.94 × 344.13
  4. Step 4: Simplify right side
    466.44x = 240,526.22
  5. Step 5: Solve for x
    x = 240,526.22/466.44
  6. Step 6: Final answer
    x = 515.66

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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.