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Finding the Fourth Proportional to 590.30, 814.35 and 380.44

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Solution

The fourth proportional to 590.30, 814.35 and 380.44 is: 524.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.30 : 814.35 = 380.44 : x
  2. Step 2: Convert to fraction form
    590.30/814.35 = 380.44/x
  3. Step 3: Cross multiply
    590.30x = 814.35 × 380.44
  4. Step 4: Simplify right side
    590.30x = 309,807.24
  5. Step 5: Solve for x
    x = 309,807.24/590.30
  6. Step 6: Final answer
    x = 524.83

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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.