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Finding the Fourth Proportional to 590.40, 814.46 and 394.02

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Solution

The fourth proportional to 590.40, 814.46 and 394.02 is: 543.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.40 : 814.46 = 394.02 : x
  2. Step 2: Convert to fraction form
    590.40/814.46 = 394.02/x
  3. Step 3: Cross multiply
    590.40x = 814.46 × 394.02
  4. Step 4: Simplify right side
    590.40x = 320,911.56
  5. Step 5: Solve for x
    x = 320,911.56/590.40
  6. Step 6: Final answer
    x = 543.55

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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.