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Finding the Fourth Proportional to 466.68, 644.10 and 270.28

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Solution

The fourth proportional to 466.68, 644.10 and 270.28 is: 373.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.68 : 644.10 = 270.28 : x
  2. Step 2: Convert to fraction form
    466.68/644.10 = 270.28/x
  3. Step 3: Cross multiply
    466.68x = 644.10 × 270.28
  4. Step 4: Simplify right side
    466.68x = 174,087.35
  5. Step 5: Solve for x
    x = 174,087.35/466.68
  6. Step 6: Final answer
    x = 373.03

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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.