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Finding the Fourth Proportional to 882.23, 1,323.23 and 233.02

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Solution

The fourth proportional to 882.23, 1,323.23 and 233.02 is: 349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.23 : 1,323.23 = 233.02 : x
  2. Step 2: Convert to fraction form
    882.23/1,323.23 = 233.02/x
  3. Step 3: Cross multiply
    882.23x = 1,323.23 × 233.02
  4. Step 4: Simplify right side
    882.23x = 308,332.44
  5. Step 5: Solve for x
    x = 308,332.44/882.23
  6. Step 6: Final answer
    x = 349.49

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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.