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Finding the Fourth Proportional to 399.09, 598.44 and 322.20

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Solution

The fourth proportional to 399.09, 598.44 and 322.20 is: 483.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.09 : 598.44 = 322.20 : x
  2. Step 2: Convert to fraction form
    399.09/598.44 = 322.20/x
  3. Step 3: Cross multiply
    399.09x = 598.44 × 322.20
  4. Step 4: Simplify right side
    399.09x = 192,817.37
  5. Step 5: Solve for x
    x = 192,817.37/399.09
  6. Step 6: Final answer
    x = 483.14

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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.