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Finding the Fourth Proportional to 466.74, 644.13 and 388.98

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Solution

The fourth proportional to 466.74, 644.13 and 388.98 is: 536.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.74 : 644.13 = 388.98 : x
  2. Step 2: Convert to fraction form
    466.74/644.13 = 388.98/x
  3. Step 3: Cross multiply
    466.74x = 644.13 × 388.98
  4. Step 4: Simplify right side
    466.74x = 250,553.69
  5. Step 5: Solve for x
    x = 250,553.69/466.74
  6. Step 6: Final answer
    x = 536.82

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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.