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Finding the Fourth Proportional to 328.53, 492.80 and 206.31

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Solution

The fourth proportional to 328.53, 492.80 and 206.31 is: 309.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.53 : 492.80 = 206.31 : x
  2. Step 2: Convert to fraction form
    328.53/492.80 = 206.31/x
  3. Step 3: Cross multiply
    328.53x = 492.80 × 206.31
  4. Step 4: Simplify right side
    328.53x = 101,668.54
  5. Step 5: Solve for x
    x = 101,668.54/328.53
  6. Step 6: Final answer
    x = 309.47

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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.