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Finding the Fourth Proportional to 504.82, 696.36 and 294.97

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Solution

The fourth proportional to 504.82, 696.36 and 294.97 is: 406.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.82 : 696.36 = 294.97 : x
  2. Step 2: Convert to fraction form
    504.82/696.36 = 294.97/x
  3. Step 3: Cross multiply
    504.82x = 696.36 × 294.97
  4. Step 4: Simplify right side
    504.82x = 205,405.31
  5. Step 5: Solve for x
    x = 205,405.31/504.82
  6. Step 6: Final answer
    x = 406.89

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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.