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Finding the Fourth Proportional to 329, 493.02 and 207.40

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Solution

The fourth proportional to 329, 493.02 and 207.40 is: 310.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329 : 493.02 = 207.40 : x
  2. Step 2: Convert to fraction form
    329/493.02 = 207.40/x
  3. Step 3: Cross multiply
    329x = 493.02 × 207.40
  4. Step 4: Simplify right side
    329x = 102,252.35
  5. Step 5: Solve for x
    x = 102,252.35/329
  6. Step 6: Final answer
    x = 310.80

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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.