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Finding the Fourth Proportional to 504.99, 758.13 and 323.19

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Solution

The fourth proportional to 504.99, 758.13 and 323.19 is: 485.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.99 : 758.13 = 323.19 : x
  2. Step 2: Convert to fraction form
    504.99/758.13 = 323.19/x
  3. Step 3: Cross multiply
    504.99x = 758.13 × 323.19
  4. Step 4: Simplify right side
    504.99x = 245,020.03
  5. Step 5: Solve for x
    x = 245,020.03/504.99
  6. Step 6: Final answer
    x = 485.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.