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Finding the Fourth Proportional to 967.16, 1,450.44 and 317.75

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Solution

The fourth proportional to 967.16, 1,450.44 and 317.75 is: 476.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.16 : 1,450.44 = 317.75 : x
  2. Step 2: Convert to fraction form
    967.16/1,450.44 = 317.75/x
  3. Step 3: Cross multiply
    967.16x = 1,450.44 × 317.75
  4. Step 4: Simplify right side
    967.16x = 460,877.31
  5. Step 5: Solve for x
    x = 460,877.31/967.16
  6. Step 6: Final answer
    x = 476.53

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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.