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Finding the Fourth Proportional to 966.72, 1,449.98 and 317.51

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Solution

The fourth proportional to 966.72, 1,449.98 and 317.51 is: 476.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.72 : 1,449.98 = 317.51 : x
  2. Step 2: Convert to fraction form
    966.72/1,449.98 = 317.51/x
  3. Step 3: Cross multiply
    966.72x = 1,449.98 × 317.51
  4. Step 4: Simplify right side
    966.72x = 460,383.15
  5. Step 5: Solve for x
    x = 460,383.15/966.72
  6. Step 6: Final answer
    x = 476.23

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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.