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Finding the Fourth Proportional to 866.51, 1,299.74 and 217.24

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Solution

The fourth proportional to 866.51, 1,299.74 and 217.24 is: 325.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.51 : 1,299.74 = 217.24 : x
  2. Step 2: Convert to fraction form
    866.51/1,299.74 = 217.24/x
  3. Step 3: Cross multiply
    866.51x = 1,299.74 × 217.24
  4. Step 4: Simplify right side
    866.51x = 282,355.52
  5. Step 5: Solve for x
    x = 282,355.52/866.51
  6. Step 6: Final answer
    x = 325.85

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Half scale
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Double scale
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Similar ratio
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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.