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Finding the Fourth Proportional to 654.75, 982.49 and 312.75

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Solution

The fourth proportional to 654.75, 982.49 and 312.75 is: 469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.75 : 982.49 = 312.75 : x
  2. Step 2: Convert to fraction form
    654.75/982.49 = 312.75/x
  3. Step 3: Cross multiply
    654.75x = 982.49 × 312.75
  4. Step 4: Simplify right side
    654.75x = 307,272.18
  5. Step 5: Solve for x
    x = 307,272.18/654.75
  6. Step 6: Final answer
    x = 469.30

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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.