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Finding the Fourth Proportional to 504.74, 696.56 and 283.73

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Solution

The fourth proportional to 504.74, 696.56 and 283.73 is: 391.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.74 : 696.56 = 283.73 : x
  2. Step 2: Convert to fraction form
    504.74/696.56 = 283.73/x
  3. Step 3: Cross multiply
    504.74x = 696.56 × 283.73
  4. Step 4: Simplify right side
    504.74x = 197,634.97
  5. Step 5: Solve for x
    x = 197,634.97/504.74
  6. Step 6: Final answer
    x = 391.56

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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.