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Finding the Fourth Proportional to 644.82, 967.08 and 320.12

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Solution

The fourth proportional to 644.82, 967.08 and 320.12 is: 480.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.82 : 967.08 = 320.12 : x
  2. Step 2: Convert to fraction form
    644.82/967.08 = 320.12/x
  3. Step 3: Cross multiply
    644.82x = 967.08 × 320.12
  4. Step 4: Simplify right side
    644.82x = 309,581.65
  5. Step 5: Solve for x
    x = 309,581.65/644.82
  6. Step 6: Final answer
    x = 480.11

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1.5x scale

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.