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Finding the Fourth Proportional to 329.58, 491.22 and 322.29

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Solution

The fourth proportional to 329.58, 491.22 and 322.29 is: 480.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.58 : 491.22 = 322.29 : x
  2. Step 2: Convert to fraction form
    329.58/491.22 = 322.29/x
  3. Step 3: Cross multiply
    329.58x = 491.22 × 322.29
  4. Step 4: Simplify right side
    329.58x = 158,315.29
  5. Step 5: Solve for x
    x = 158,315.29/329.58
  6. Step 6: Final answer
    x = 480.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.