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Finding the Fourth Proportional to 590.31, 814.41 and 380.43

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Solution

The fourth proportional to 590.31, 814.41 and 380.43 is: 524.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.31 : 814.41 = 380.43 : x
  2. Step 2: Convert to fraction form
    590.31/814.41 = 380.43/x
  3. Step 3: Cross multiply
    590.31x = 814.41 × 380.43
  4. Step 4: Simplify right side
    590.31x = 309,826.00
  5. Step 5: Solve for x
    x = 309,826.00/590.31
  6. Step 6: Final answer
    x = 524.85

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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.