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Finding the Fourth Proportional to 466.85, 644.06 and 309.57

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Solution

The fourth proportional to 466.85, 644.06 and 309.57 is: 427.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.85 : 644.06 = 309.57 : x
  2. Step 2: Convert to fraction form
    466.85/644.06 = 309.57/x
  3. Step 3: Cross multiply
    466.85x = 644.06 × 309.57
  4. Step 4: Simplify right side
    466.85x = 199,380.11
  5. Step 5: Solve for x
    x = 199,380.11/466.85
  6. Step 6: Final answer
    x = 427.08

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Why These Related Problems?

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