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Finding the Fourth Proportional to 645.14, 967.82 and 337.25

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Solution

The fourth proportional to 645.14, 967.82 and 337.25 is: 505.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.14 : 967.82 = 337.25 : x
  2. Step 2: Convert to fraction form
    645.14/967.82 = 337.25/x
  3. Step 3: Cross multiply
    645.14x = 967.82 × 337.25
  4. Step 4: Simplify right side
    645.14x = 326,398.03
  5. Step 5: Solve for x
    x = 326,398.03/645.14
  6. Step 6: Final answer
    x = 505.93

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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.