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Finding the Fourth Proportional to 590.84, 814.50 and 443.24

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Solution

The fourth proportional to 590.84, 814.50 and 443.24 is: 611.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.84 : 814.50 = 443.24 : x
  2. Step 2: Convert to fraction form
    590.84/814.50 = 443.24/x
  3. Step 3: Cross multiply
    590.84x = 814.50 × 443.24
  4. Step 4: Simplify right side
    590.84x = 361,018.98
  5. Step 5: Solve for x
    x = 361,018.98/590.84
  6. Step 6: Final answer
    x = 611.03

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