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Finding the Fourth Proportional to 690.05, 1,034.31 and 324.52

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Solution

The fourth proportional to 690.05, 1,034.31 and 324.52 is: 486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.05 : 1,034.31 = 324.52 : x
  2. Step 2: Convert to fraction form
    690.05/1,034.31 = 324.52/x
  3. Step 3: Cross multiply
    690.05x = 1,034.31 × 324.52
  4. Step 4: Simplify right side
    690.05x = 335,654.28
  5. Step 5: Solve for x
    x = 335,654.28/690.05
  6. Step 6: Final answer
    x = 486.42

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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.