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Finding the Fourth Proportional to 596.43, 823.10 and 347.73

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Solution

The fourth proportional to 596.43, 823.10 and 347.73 is: 479.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.43 : 823.10 = 347.73 : x
  2. Step 2: Convert to fraction form
    596.43/823.10 = 347.73/x
  3. Step 3: Cross multiply
    596.43x = 823.10 × 347.73
  4. Step 4: Simplify right side
    596.43x = 286,216.56
  5. Step 5: Solve for x
    x = 286,216.56/596.43
  6. Step 6: Final answer
    x = 479.88

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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.