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Finding the Fourth Proportional to 645.32, 967.97 and 260.84

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Solution

The fourth proportional to 645.32, 967.97 and 260.84 is: 391.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.32 : 967.97 = 260.84 : x
  2. Step 2: Convert to fraction form
    645.32/967.97 = 260.84/x
  3. Step 3: Cross multiply
    645.32x = 967.97 × 260.84
  4. Step 4: Simplify right side
    645.32x = 252,481.11
  5. Step 5: Solve for x
    x = 252,481.11/645.32
  6. Step 6: Final answer
    x = 391.25

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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.