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Finding the Fourth Proportional to 399.09, 598.12 and 322.09

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Solution

The fourth proportional to 399.09, 598.12 and 322.09 is: 482.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.09 : 598.12 = 322.09 : x
  2. Step 2: Convert to fraction form
    399.09/598.12 = 322.09/x
  3. Step 3: Cross multiply
    399.09x = 598.12 × 322.09
  4. Step 4: Simplify right side
    399.09x = 192,644.67
  5. Step 5: Solve for x
    x = 192,644.67/399.09
  6. Step 6: Final answer
    x = 482.72

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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.