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Finding the Fourth Proportional to 968.09, 1,452.29 and 318.67

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Solution

The fourth proportional to 968.09, 1,452.29 and 318.67 is: 478.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.09 : 1,452.29 = 318.67 : x
  2. Step 2: Convert to fraction form
    968.09/1,452.29 = 318.67/x
  3. Step 3: Cross multiply
    968.09x = 1,452.29 × 318.67
  4. Step 4: Simplify right side
    968.09x = 462,801.25
  5. Step 5: Solve for x
    x = 462,801.25/968.09
  6. Step 6: Final answer
    x = 478.06

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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.