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Finding the Fourth Proportional to 329.64, 492.15 and 283.80

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Solution

The fourth proportional to 329.64, 492.15 and 283.80 is: 423.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.64 : 492.15 = 283.80 : x
  2. Step 2: Convert to fraction form
    329.64/492.15 = 283.80/x
  3. Step 3: Cross multiply
    329.64x = 492.15 × 283.80
  4. Step 4: Simplify right side
    329.64x = 139,672.17
  5. Step 5: Solve for x
    x = 139,672.17/329.64
  6. Step 6: Final answer
    x = 423.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.