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Finding the Fourth Proportional to 466.78, 644.16 and 369.22

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Solution

The fourth proportional to 466.78, 644.16 and 369.22 is: 509.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.78 : 644.16 = 369.22 : x
  2. Step 2: Convert to fraction form
    466.78/644.16 = 369.22/x
  3. Step 3: Cross multiply
    466.78x = 644.16 × 369.22
  4. Step 4: Simplify right side
    466.78x = 237,836.76
  5. Step 5: Solve for x
    x = 237,836.76/466.78
  6. Step 6: Final answer
    x = 509.53

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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.