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Finding the Fourth Proportional to 504.29, 696.25 and 336.49

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Solution

The fourth proportional to 504.29, 696.25 and 336.49 is: 464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.29 : 696.25 = 336.49 : x
  2. Step 2: Convert to fraction form
    504.29/696.25 = 336.49/x
  3. Step 3: Cross multiply
    504.29x = 696.25 × 336.49
  4. Step 4: Simplify right side
    504.29x = 234,277.55
  5. Step 5: Solve for x
    x = 234,277.55/504.29
  6. Step 6: Final answer
    x = 464.56

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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.