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Finding the Fourth Proportional to 466.07, 698.35 and 246.69

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Solution

The fourth proportional to 466.07, 698.35 and 246.69 is: 369.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.07 : 698.35 = 246.69 : x
  2. Step 2: Convert to fraction form
    466.07/698.35 = 246.69/x
  3. Step 3: Cross multiply
    466.07x = 698.35 × 246.69
  4. Step 4: Simplify right side
    466.07x = 172,275.96
  5. Step 5: Solve for x
    x = 172,275.96/466.07
  6. Step 6: Final answer
    x = 369.64

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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.