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Finding the Fourth Proportional to 504.75, 696.29 and 338.68

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Solution

The fourth proportional to 504.75, 696.29 and 338.68 is: 467.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.75 : 696.29 = 338.68 : x
  2. Step 2: Convert to fraction form
    504.75/696.29 = 338.68/x
  3. Step 3: Cross multiply
    504.75x = 696.29 × 338.68
  4. Step 4: Simplify right side
    504.75x = 235,816.06
  5. Step 5: Solve for x
    x = 235,816.06/504.75
  6. Step 6: Final answer
    x = 467.19

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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.