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Finding the Fourth Proportional to 466.46, 643.05 and 289.31

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Solution

The fourth proportional to 466.46, 643.05 and 289.31 is: 398.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.46 : 643.05 = 289.31 : x
  2. Step 2: Convert to fraction form
    466.46/643.05 = 289.31/x
  3. Step 3: Cross multiply
    466.46x = 643.05 × 289.31
  4. Step 4: Simplify right side
    466.46x = 186,040.80
  5. Step 5: Solve for x
    x = 186,040.80/466.46
  6. Step 6: Final answer
    x = 398.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.