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Finding the Fourth Proportional to 504.77, 696.47 and 308.41

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Solution

The fourth proportional to 504.77, 696.47 and 308.41 is: 425.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.77 : 696.47 = 308.41 : x
  2. Step 2: Convert to fraction form
    504.77/696.47 = 308.41/x
  3. Step 3: Cross multiply
    504.77x = 696.47 × 308.41
  4. Step 4: Simplify right side
    504.77x = 214,795.03
  5. Step 5: Solve for x
    x = 214,795.03/504.77
  6. Step 6: Final answer
    x = 425.53

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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.