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Finding the Fourth Proportional to 654.06, 980.28 and 289.02

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Solution

The fourth proportional to 654.06, 980.28 and 289.02 is: 433.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.06 : 980.28 = 289.02 : x
  2. Step 2: Convert to fraction form
    654.06/980.28 = 289.02/x
  3. Step 3: Cross multiply
    654.06x = 980.28 × 289.02
  4. Step 4: Simplify right side
    654.06x = 283,320.53
  5. Step 5: Solve for x
    x = 283,320.53/654.06
  6. Step 6: Final answer
    x = 433.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.