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Finding the Fourth Proportional to 654.29, 980.76 and 289.25

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Solution

The fourth proportional to 654.29, 980.76 and 289.25 is: 433.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.29 : 980.76 = 289.25 : x
  2. Step 2: Convert to fraction form
    654.29/980.76 = 289.25/x
  3. Step 3: Cross multiply
    654.29x = 980.76 × 289.25
  4. Step 4: Simplify right side
    654.29x = 283,684.83
  5. Step 5: Solve for x
    x = 283,684.83/654.29
  6. Step 6: Final answer
    x = 433.58

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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.