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Finding the Fourth Proportional to 964.49, 1,446.62 and 271.08

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Solution

The fourth proportional to 964.49, 1,446.62 and 271.08 is: 406.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.49 : 1,446.62 = 271.08 : x
  2. Step 2: Convert to fraction form
    964.49/1,446.62 = 271.08/x
  3. Step 3: Cross multiply
    964.49x = 1,446.62 × 271.08
  4. Step 4: Simplify right side
    964.49x = 392,148.39
  5. Step 5: Solve for x
    x = 392,148.39/964.49
  6. Step 6: Final answer
    x = 406.59

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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.