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Finding the Fourth Proportional to 645.19, 967.66 and 298.15

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Solution

The fourth proportional to 645.19, 967.66 and 298.15 is: 447.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.19 : 967.66 = 298.15 : x
  2. Step 2: Convert to fraction form
    645.19/967.66 = 298.15/x
  3. Step 3: Cross multiply
    645.19x = 967.66 × 298.15
  4. Step 4: Simplify right side
    645.19x = 288,507.83
  5. Step 5: Solve for x
    x = 288,507.83/645.19
  6. Step 6: Final answer
    x = 447.17

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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.