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Finding the Fourth Proportional to 966.82, 1,450.45 and 317.54

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Solution

The fourth proportional to 966.82, 1,450.45 and 317.54 is: 476.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.82 : 1,450.45 = 317.54 : x
  2. Step 2: Convert to fraction form
    966.82/1,450.45 = 317.54/x
  3. Step 3: Cross multiply
    966.82x = 1,450.45 × 317.54
  4. Step 4: Simplify right side
    966.82x = 460,575.89
  5. Step 5: Solve for x
    x = 460,575.89/966.82
  6. Step 6: Final answer
    x = 476.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.