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Finding the Fourth Proportional to 645.12, 967.20 and 320.12

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Solution

The fourth proportional to 645.12, 967.20 and 320.12 is: 479.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.12 : 967.20 = 320.12 : x
  2. Step 2: Convert to fraction form
    645.12/967.20 = 320.12/x
  3. Step 3: Cross multiply
    645.12x = 967.20 × 320.12
  4. Step 4: Simplify right side
    645.12x = 309,620.06
  5. Step 5: Solve for x
    x = 309,620.06/645.12
  6. Step 6: Final answer
    x = 479.94

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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.