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Finding the Fourth Proportional to 466.49, 644.26 and 362.82

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Solution

The fourth proportional to 466.49, 644.26 and 362.82 is: 501.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.49 : 644.26 = 362.82 : x
  2. Step 2: Convert to fraction form
    466.49/644.26 = 362.82/x
  3. Step 3: Cross multiply
    466.49x = 644.26 × 362.82
  4. Step 4: Simplify right side
    466.49x = 233,750.41
  5. Step 5: Solve for x
    x = 233,750.41/466.49
  6. Step 6: Final answer
    x = 501.08

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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.