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Finding the Fourth Proportional to 631.68, 946.69 and 323.27

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Solution

The fourth proportional to 631.68, 946.69 and 323.27 is: 484.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.68 : 946.69 = 323.27 : x
  2. Step 2: Convert to fraction form
    631.68/946.69 = 323.27/x
  3. Step 3: Cross multiply
    631.68x = 946.69 × 323.27
  4. Step 4: Simplify right side
    631.68x = 306,036.48
  5. Step 5: Solve for x
    x = 306,036.48/631.68
  6. Step 6: Final answer
    x = 484.48

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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.