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Finding the Fourth Proportional to 654.66, 982.14 and 289.35

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Solution

The fourth proportional to 654.66, 982.14 and 289.35 is: 434.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.66 : 982.14 = 289.35 : x
  2. Step 2: Convert to fraction form
    654.66/982.14 = 289.35/x
  3. Step 3: Cross multiply
    654.66x = 982.14 × 289.35
  4. Step 4: Simplify right side
    654.66x = 284,182.21
  5. Step 5: Solve for x
    x = 284,182.21/654.66
  6. Step 6: Final answer
    x = 434.09

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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.