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Finding the Fourth Proportional to 590.12, 813.98 and 449.93

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Solution

The fourth proportional to 590.12, 813.98 and 449.93 is: 620.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.12 : 813.98 = 449.93 : x
  2. Step 2: Convert to fraction form
    590.12/813.98 = 449.93/x
  3. Step 3: Cross multiply
    590.12x = 813.98 × 449.93
  4. Step 4: Simplify right side
    590.12x = 366,237.18
  5. Step 5: Solve for x
    x = 366,237.18/590.12
  6. Step 6: Final answer
    x = 620.62

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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.