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Finding the Fourth Proportional to 501.44, 690.97 and 388.73

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Solution

The fourth proportional to 501.44, 690.97 and 388.73 is: 535.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.44 : 690.97 = 388.73 : x
  2. Step 2: Convert to fraction form
    501.44/690.97 = 388.73/x
  3. Step 3: Cross multiply
    501.44x = 690.97 × 388.73
  4. Step 4: Simplify right side
    501.44x = 268,600.77
  5. Step 5: Solve for x
    x = 268,600.77/501.44
  6. Step 6: Final answer
    x = 535.66

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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.