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Finding the Fourth Proportional to 654.65, 982.10 and 289.45

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Solution

The fourth proportional to 654.65, 982.10 and 289.45 is: 434.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.65 : 982.10 = 289.45 : x
  2. Step 2: Convert to fraction form
    654.65/982.10 = 289.45/x
  3. Step 3: Cross multiply
    654.65x = 982.10 × 289.45
  4. Step 4: Simplify right side
    654.65x = 284,268.85
  5. Step 5: Solve for x
    x = 284,268.85/654.65
  6. Step 6: Final answer
    x = 434.23

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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.