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Finding the Fourth Proportional to 654.06, 981.78 and 307.67

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Solution

The fourth proportional to 654.06, 981.78 and 307.67 is: 461.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.06 : 981.78 = 307.67 : x
  2. Step 2: Convert to fraction form
    654.06/981.78 = 307.67/x
  3. Step 3: Cross multiply
    654.06x = 981.78 × 307.67
  4. Step 4: Simplify right side
    654.06x = 302,064.25
  5. Step 5: Solve for x
    x = 302,064.25/654.06
  6. Step 6: Final answer
    x = 461.83

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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.