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Finding the Fourth Proportional to 504.92, 696.78 and 280.86

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Solution

The fourth proportional to 504.92, 696.78 and 280.86 is: 387.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.92 : 696.78 = 280.86 : x
  2. Step 2: Convert to fraction form
    504.92/696.78 = 280.86/x
  3. Step 3: Cross multiply
    504.92x = 696.78 × 280.86
  4. Step 4: Simplify right side
    504.92x = 195,696.23
  5. Step 5: Solve for x
    x = 195,696.23/504.92
  6. Step 6: Final answer
    x = 387.58

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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.