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Finding the Fourth Proportional to 504.49, 696.22 and 283.44

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Solution

The fourth proportional to 504.49, 696.22 and 283.44 is: 391.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.49 : 696.22 = 283.44 : x
  2. Step 2: Convert to fraction form
    504.49/696.22 = 283.44/x
  3. Step 3: Cross multiply
    504.49x = 696.22 × 283.44
  4. Step 4: Simplify right side
    504.49x = 197,336.60
  5. Step 5: Solve for x
    x = 197,336.60/504.49
  6. Step 6: Final answer
    x = 391.16

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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.