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Finding the Fourth Proportional to 882.12, 1,323.10 and 232.83

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Solution

The fourth proportional to 882.12, 1,323.10 and 232.83 is: 349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.12 : 1,323.10 = 232.83 : x
  2. Step 2: Convert to fraction form
    882.12/1,323.10 = 232.83/x
  3. Step 3: Cross multiply
    882.12x = 1,323.10 × 232.83
  4. Step 4: Simplify right side
    882.12x = 308,057.37
  5. Step 5: Solve for x
    x = 308,057.37/882.12
  6. Step 6: Final answer
    x = 349.22

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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.