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Finding the Fourth Proportional to 322.09, 444.62 and 210.11

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Solution

The fourth proportional to 322.09, 444.62 and 210.11 is: 290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.09 : 444.62 = 210.11 : x
  2. Step 2: Convert to fraction form
    322.09/444.62 = 210.11/x
  3. Step 3: Cross multiply
    322.09x = 444.62 × 210.11
  4. Step 4: Simplify right side
    322.09x = 93,417.41
  5. Step 5: Solve for x
    x = 93,417.41/322.09
  6. Step 6: Final answer
    x = 290.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.