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Finding the Fourth Proportional to 330.08, 491.64 and 328.59

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Solution

The fourth proportional to 330.08, 491.64 and 328.59 is: 489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.08 : 491.64 = 328.59 : x
  2. Step 2: Convert to fraction form
    330.08/491.64 = 328.59/x
  3. Step 3: Cross multiply
    330.08x = 491.64 × 328.59
  4. Step 4: Simplify right side
    330.08x = 161,546.76
  5. Step 5: Solve for x
    x = 161,546.76/330.08
  6. Step 6: Final answer
    x = 489.42

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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.