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Finding the Fourth Proportional to 504.93, 696.78 and 283.86

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Solution

The fourth proportional to 504.93, 696.78 and 283.86 is: 391.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.93 : 696.78 = 283.86 : x
  2. Step 2: Convert to fraction form
    504.93/696.78 = 283.86/x
  3. Step 3: Cross multiply
    504.93x = 696.78 × 283.86
  4. Step 4: Simplify right side
    504.93x = 197,787.97
  5. Step 5: Solve for x
    x = 197,787.97/504.93
  6. Step 6: Final answer
    x = 391.71

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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.