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Finding the Fourth Proportional to 596.69, 823.44 and 331.14

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Solution

The fourth proportional to 596.69, 823.44 and 331.14 is: 456.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.69 : 823.44 = 331.14 : x
  2. Step 2: Convert to fraction form
    596.69/823.44 = 331.14/x
  3. Step 3: Cross multiply
    596.69x = 823.44 × 331.14
  4. Step 4: Simplify right side
    596.69x = 272,668.98
  5. Step 5: Solve for x
    x = 272,668.98/596.69
  6. Step 6: Final answer
    x = 456.97

Related Problems

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Double scale
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1.5x scale

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.