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Finding the Fourth Proportional to 590.43, 813.00 and 466.05

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Solution

The fourth proportional to 590.43, 813.00 and 466.05 is: 641.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.43 : 813.00 = 466.05 : x
  2. Step 2: Convert to fraction form
    590.43/813.00 = 466.05/x
  3. Step 3: Cross multiply
    590.43x = 813.00 × 466.05
  4. Step 4: Simplify right side
    590.43x = 378,892.65
  5. Step 5: Solve for x
    x = 378,892.65/590.43
  6. Step 6: Final answer
    x = 641.72

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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.