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Finding the Fourth Proportional to 645.07, 967.64 and 320.35

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Solution

The fourth proportional to 645.07, 967.64 and 320.35 is: 480.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.07 : 967.64 = 320.35 : x
  2. Step 2: Convert to fraction form
    645.07/967.64 = 320.35/x
  3. Step 3: Cross multiply
    645.07x = 967.64 × 320.35
  4. Step 4: Simplify right side
    645.07x = 309,983.47
  5. Step 5: Solve for x
    x = 309,983.47/645.07
  6. Step 6: Final answer
    x = 480.54

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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.