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Finding the Fourth Proportional to 872.61, 1,308.90 and 310.16

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Solution

The fourth proportional to 872.61, 1,308.90 and 310.16 is: 465.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.61 : 1,308.90 = 310.16 : x
  2. Step 2: Convert to fraction form
    872.61/1,308.90 = 310.16/x
  3. Step 3: Cross multiply
    872.61x = 1,308.90 × 310.16
  4. Step 4: Simplify right side
    872.61x = 405,968.42
  5. Step 5: Solve for x
    x = 405,968.42/872.61
  6. Step 6: Final answer
    x = 465.23

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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.