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Finding the Fourth Proportional to 504.73, 696.56 and 308.22

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Solution

The fourth proportional to 504.73, 696.56 and 308.22 is: 425.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.73 : 696.56 = 308.22 : x
  2. Step 2: Convert to fraction form
    504.73/696.56 = 308.22/x
  3. Step 3: Cross multiply
    504.73x = 696.56 × 308.22
  4. Step 4: Simplify right side
    504.73x = 214,693.72
  5. Step 5: Solve for x
    x = 214,693.72/504.73
  6. Step 6: Final answer
    x = 425.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.