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Finding the Fourth Proportional to 883.24, 1,325.04 and 306.16

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Solution

The fourth proportional to 883.24, 1,325.04 and 306.16 is: 459.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.24 : 1,325.04 = 306.16 : x
  2. Step 2: Convert to fraction form
    883.24/1,325.04 = 306.16/x
  3. Step 3: Cross multiply
    883.24x = 1,325.04 × 306.16
  4. Step 4: Simplify right side
    883.24x = 405,674.25
  5. Step 5: Solve for x
    x = 405,674.25/883.24
  6. Step 6: Final answer
    x = 459.30

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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.