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Finding the Fourth Proportional to 329.02, 492.95 and 309.51

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Solution

The fourth proportional to 329.02, 492.95 and 309.51 is: 463.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.02 : 492.95 = 309.51 : x
  2. Step 2: Convert to fraction form
    329.02/492.95 = 309.51/x
  3. Step 3: Cross multiply
    329.02x = 492.95 × 309.51
  4. Step 4: Simplify right side
    329.02x = 152,571.41
  5. Step 5: Solve for x
    x = 152,571.41/329.02
  6. Step 6: Final answer
    x = 463.72

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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.