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Finding the Fourth Proportional to 329.35, 492.71 and 286.47

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Solution

The fourth proportional to 329.35, 492.71 and 286.47 is: 428.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.35 : 492.71 = 286.47 : x
  2. Step 2: Convert to fraction form
    329.35/492.71 = 286.47/x
  3. Step 3: Cross multiply
    329.35x = 492.71 × 286.47
  4. Step 4: Simplify right side
    329.35x = 141,146.63
  5. Step 5: Solve for x
    x = 141,146.63/329.35
  6. Step 6: Final answer
    x = 428.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.