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Finding the Fourth Proportional to 329.84, 494.45 and 302.50

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Solution

The fourth proportional to 329.84, 494.45 and 302.50 is: 453.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.84 : 494.45 = 302.50 : x
  2. Step 2: Convert to fraction form
    329.84/494.45 = 302.50/x
  3. Step 3: Cross multiply
    329.84x = 494.45 × 302.50
  4. Step 4: Simplify right side
    329.84x = 149,573.07
  5. Step 5: Solve for x
    x = 149,573.07/329.84
  6. Step 6: Final answer
    x = 453.47

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Why These Related Problems?

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