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Finding the Fourth Proportional to 466.54, 698.64 and 344.89

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Solution

The fourth proportional to 466.54, 698.64 and 344.89 is: 516.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.54 : 698.64 = 344.89 : x
  2. Step 2: Convert to fraction form
    466.54/698.64 = 344.89/x
  3. Step 3: Cross multiply
    466.54x = 698.64 × 344.89
  4. Step 4: Simplify right side
    466.54x = 240,953.95
  5. Step 5: Solve for x
    x = 240,953.95/466.54
  6. Step 6: Final answer
    x = 516.47

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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.