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Finding the Fourth Proportional to 596.23, 822.80 and 330.67

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Solution

The fourth proportional to 596.23, 822.80 and 330.67 is: 456.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.23 : 822.80 = 330.67 : x
  2. Step 2: Convert to fraction form
    596.23/822.80 = 330.67/x
  3. Step 3: Cross multiply
    596.23x = 822.80 × 330.67
  4. Step 4: Simplify right side
    596.23x = 272,077.33
  5. Step 5: Solve for x
    x = 272,077.33/596.23
  6. Step 6: Final answer
    x = 456.33

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.