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Finding the Fourth Proportional to 966.86, 1,450.46 and 317.37

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Solution

The fourth proportional to 966.86, 1,450.46 and 317.37 is: 476.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.86 : 1,450.46 = 317.37 : x
  2. Step 2: Convert to fraction form
    966.86/1,450.46 = 317.37/x
  3. Step 3: Cross multiply
    966.86x = 1,450.46 × 317.37
  4. Step 4: Simplify right side
    966.86x = 460,332.49
  5. Step 5: Solve for x
    x = 460,332.49/966.86
  6. Step 6: Final answer
    x = 476.11

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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.