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Finding the Fourth Proportional to 330.60, 492.90 and 322.06

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Solution

The fourth proportional to 330.60, 492.90 and 322.06 is: 480.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.60 : 492.90 = 322.06 : x
  2. Step 2: Convert to fraction form
    330.60/492.90 = 322.06/x
  3. Step 3: Cross multiply
    330.60x = 492.90 × 322.06
  4. Step 4: Simplify right side
    330.60x = 158,743.37
  5. Step 5: Solve for x
    x = 158,743.37/330.60
  6. Step 6: Final answer
    x = 480.17

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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.