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Finding the Fourth Proportional to 590.23, 814.06 and 366.04

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Solution

The fourth proportional to 590.23, 814.06 and 366.04 is: 504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.23 : 814.06 = 366.04 : x
  2. Step 2: Convert to fraction form
    590.23/814.06 = 366.04/x
  3. Step 3: Cross multiply
    590.23x = 814.06 × 366.04
  4. Step 4: Simplify right side
    590.23x = 297,978.52
  5. Step 5: Solve for x
    x = 297,978.52/590.23
  6. Step 6: Final answer
    x = 504.85

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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.