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Finding the Fourth Proportional to 645.39, 967.98 and 398.22

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Solution

The fourth proportional to 645.39, 967.98 and 398.22 is: 597.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.39 : 967.98 = 398.22 : x
  2. Step 2: Convert to fraction form
    645.39/967.98 = 398.22/x
  3. Step 3: Cross multiply
    645.39x = 967.98 × 398.22
  4. Step 4: Simplify right side
    645.39x = 385,463.50
  5. Step 5: Solve for x
    x = 385,463.50/645.39
  6. Step 6: Final answer
    x = 597.25

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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.