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Finding the Fourth Proportional to 966.84, 1,450.38 and 317.64

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Solution

The fourth proportional to 966.84, 1,450.38 and 317.64 is: 476.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.84 : 1,450.38 = 317.64 : x
  2. Step 2: Convert to fraction form
    966.84/1,450.38 = 317.64/x
  3. Step 3: Cross multiply
    966.84x = 1,450.38 × 317.64
  4. Step 4: Simplify right side
    966.84x = 460,698.70
  5. Step 5: Solve for x
    x = 460,698.70/966.84
  6. Step 6: Final answer
    x = 476.50

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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.