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Finding the Fourth Proportional to 654.75, 982.51 and 289.58

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Solution

The fourth proportional to 654.75, 982.51 and 289.58 is: 434.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.75 : 982.51 = 289.58 : x
  2. Step 2: Convert to fraction form
    654.75/982.51 = 289.58/x
  3. Step 3: Cross multiply
    654.75x = 982.51 × 289.58
  4. Step 4: Simplify right side
    654.75x = 284,509.61
  5. Step 5: Solve for x
    x = 284,509.61/654.75
  6. Step 6: Final answer
    x = 434.53

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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.