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Finding the Fourth Proportional to 328.34, 492.61 and 206.42

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Solution

The fourth proportional to 328.34, 492.61 and 206.42 is: 309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.34 : 492.61 = 206.42 : x
  2. Step 2: Convert to fraction form
    328.34/492.61 = 206.42/x
  3. Step 3: Cross multiply
    328.34x = 492.61 × 206.42
  4. Step 4: Simplify right side
    328.34x = 101,684.56
  5. Step 5: Solve for x
    x = 101,684.56/328.34
  6. Step 6: Final answer
    x = 309.69

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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.