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Finding the Fourth Proportional to 864.50, 1,296.81 and 316.67

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Solution

The fourth proportional to 864.50, 1,296.81 and 316.67 is: 475.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.50 : 1,296.81 = 316.67 : x
  2. Step 2: Convert to fraction form
    864.50/1,296.81 = 316.67/x
  3. Step 3: Cross multiply
    864.50x = 1,296.81 × 316.67
  4. Step 4: Simplify right side
    864.50x = 410,654.34
  5. Step 5: Solve for x
    x = 410,654.34/864.50
  6. Step 6: Final answer
    x = 475.02

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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.