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Finding the Fourth Proportional to 329.94, 492.75 and 302.40

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Solution

The fourth proportional to 329.94, 492.75 and 302.40 is: 451.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.94 : 492.75 = 302.40 : x
  2. Step 2: Convert to fraction form
    329.94/492.75 = 302.40/x
  3. Step 3: Cross multiply
    329.94x = 492.75 × 302.40
  4. Step 4: Simplify right side
    329.94x = 149,007.60
  5. Step 5: Solve for x
    x = 149,007.60/329.94
  6. Step 6: Final answer
    x = 451.62

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Why These Related Problems?

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