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Finding the Fourth Proportional to 389.09, 586.31 and 322.12

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Solution

The fourth proportional to 389.09, 586.31 and 322.12 is: 485.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.09 : 586.31 = 322.12 : x
  2. Step 2: Convert to fraction form
    389.09/586.31 = 322.12/x
  3. Step 3: Cross multiply
    389.09x = 586.31 × 322.12
  4. Step 4: Simplify right side
    389.09x = 188,862.18
  5. Step 5: Solve for x
    x = 188,862.18/389.09
  6. Step 6: Final answer
    x = 485.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.