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Finding the Fourth Proportional to 590.49, 814.59 and 394.07

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Solution

The fourth proportional to 590.49, 814.59 and 394.07 is: 543.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.49 : 814.59 = 394.07 : x
  2. Step 2: Convert to fraction form
    590.49/814.59 = 394.07/x
  3. Step 3: Cross multiply
    590.49x = 814.59 × 394.07
  4. Step 4: Simplify right side
    590.49x = 321,001.41
  5. Step 5: Solve for x
    x = 321,001.41/590.49
  6. Step 6: Final answer
    x = 543.62

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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.