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Finding the Fourth Proportional to 590.34, 814.63 and 324.78

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Solution

The fourth proportional to 590.34, 814.63 and 324.78 is: 448.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.34 : 814.63 = 324.78 : x
  2. Step 2: Convert to fraction form
    590.34/814.63 = 324.78/x
  3. Step 3: Cross multiply
    590.34x = 814.63 × 324.78
  4. Step 4: Simplify right side
    590.34x = 264,575.53
  5. Step 5: Solve for x
    x = 264,575.53/590.34
  6. Step 6: Final answer
    x = 448.17

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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.