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Finding the Fourth Proportional to 504.97, 696.87 and 283.94

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Solution

The fourth proportional to 504.97, 696.87 and 283.94 is: 391.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.97 : 696.87 = 283.94 : x
  2. Step 2: Convert to fraction form
    504.97/696.87 = 283.94/x
  3. Step 3: Cross multiply
    504.97x = 696.87 × 283.94
  4. Step 4: Simplify right side
    504.97x = 197,864.36
  5. Step 5: Solve for x
    x = 197,864.36/504.97
  6. Step 6: Final answer
    x = 391.84

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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.