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Finding the Fourth Proportional to 590.06, 814.21 and 353.96

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Solution

The fourth proportional to 590.06, 814.21 and 353.96 is: 488.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.06 : 814.21 = 353.96 : x
  2. Step 2: Convert to fraction form
    590.06/814.21 = 353.96/x
  3. Step 3: Cross multiply
    590.06x = 814.21 × 353.96
  4. Step 4: Simplify right side
    590.06x = 288,197.77
  5. Step 5: Solve for x
    x = 288,197.77/590.06
  6. Step 6: Final answer
    x = 488.42

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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.