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Finding the Fourth Proportional to 866.49, 1,299.72 and 217.23

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Solution

The fourth proportional to 866.49, 1,299.72 and 217.23 is: 325.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.49 : 1,299.72 = 217.23 : x
  2. Step 2: Convert to fraction form
    866.49/1,299.72 = 217.23/x
  3. Step 3: Cross multiply
    866.49x = 1,299.72 × 217.23
  4. Step 4: Simplify right side
    866.49x = 282,338.18
  5. Step 5: Solve for x
    x = 282,338.18/866.49
  6. Step 6: Final answer
    x = 325.84

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Double scale
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1.5x scale

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.