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Finding the Fourth Proportional to 596.37, 823.04 and 344.37

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Solution

The fourth proportional to 596.37, 823.04 and 344.37 is: 475.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.37 : 823.04 = 344.37 : x
  2. Step 2: Convert to fraction form
    596.37/823.04 = 344.37/x
  3. Step 3: Cross multiply
    596.37x = 823.04 × 344.37
  4. Step 4: Simplify right side
    596.37x = 283,430.28
  5. Step 5: Solve for x
    x = 283,430.28/596.37
  6. Step 6: Final answer
    x = 475.26

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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.