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Finding the Fourth Proportional to 466.42, 700.23 and 394.73

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Solution

The fourth proportional to 466.42, 700.23 and 394.73 is: 592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.42 : 700.23 = 394.73 : x
  2. Step 2: Convert to fraction form
    466.42/700.23 = 394.73/x
  3. Step 3: Cross multiply
    466.42x = 700.23 × 394.73
  4. Step 4: Simplify right side
    466.42x = 276,401.79
  5. Step 5: Solve for x
    x = 276,401.79/466.42
  6. Step 6: Final answer
    x = 592.60

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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.