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Finding the Fourth Proportional to 873.65, 1,310.04 and 318.33

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Solution

The fourth proportional to 873.65, 1,310.04 and 318.33 is: 477.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.65 : 1,310.04 = 318.33 : x
  2. Step 2: Convert to fraction form
    873.65/1,310.04 = 318.33/x
  3. Step 3: Cross multiply
    873.65x = 1,310.04 × 318.33
  4. Step 4: Simplify right side
    873.65x = 417,025.03
  5. Step 5: Solve for x
    x = 417,025.03/873.65
  6. Step 6: Final answer
    x = 477.34

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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.