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Finding the Fourth Proportional to 590.45, 814.78 and 324.88

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Solution

The fourth proportional to 590.45, 814.78 and 324.88 is: 448.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.45 : 814.78 = 324.88 : x
  2. Step 2: Convert to fraction form
    590.45/814.78 = 324.88/x
  3. Step 3: Cross multiply
    590.45x = 814.78 × 324.88
  4. Step 4: Simplify right side
    590.45x = 264,705.73
  5. Step 5: Solve for x
    x = 264,705.73/590.45
  6. Step 6: Final answer
    x = 448.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.