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Finding the Fourth Proportional to 665.99, 920.33 and 499.91

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Solution

The fourth proportional to 665.99, 920.33 and 499.91 is: 690.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.99 : 920.33 = 499.91 : x
  2. Step 2: Convert to fraction form
    665.99/920.33 = 499.91/x
  3. Step 3: Cross multiply
    665.99x = 920.33 × 499.91
  4. Step 4: Simplify right side
    665.99x = 460,081.97
  5. Step 5: Solve for x
    x = 460,081.97/665.99
  6. Step 6: Final answer
    x = 690.83

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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.