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Finding the Fourth Proportional to 418.42, 626.82 and 322.84

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Solution

The fourth proportional to 418.42, 626.82 and 322.84 is: 483.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.42 : 626.82 = 322.84 : x
  2. Step 2: Convert to fraction form
    418.42/626.82 = 322.84/x
  3. Step 3: Cross multiply
    418.42x = 626.82 × 322.84
  4. Step 4: Simplify right side
    418.42x = 202,362.57
  5. Step 5: Solve for x
    x = 202,362.57/418.42
  6. Step 6: Final answer
    x = 483.64

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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.