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Finding the Fourth Proportional to 504.49, 696.02 and 327.67

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Solution

The fourth proportional to 504.49, 696.02 and 327.67 is: 452.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.49 : 696.02 = 327.67 : x
  2. Step 2: Convert to fraction form
    504.49/696.02 = 327.67/x
  3. Step 3: Cross multiply
    504.49x = 696.02 × 327.67
  4. Step 4: Simplify right side
    504.49x = 228,068.10
  5. Step 5: Solve for x
    x = 228,068.10/504.49
  6. Step 6: Final answer
    x = 452.08

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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.