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Finding the Fourth Proportional to 596.29, 822.74 and 347.46

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Solution

The fourth proportional to 596.29, 822.74 and 347.46 is: 479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.29 : 822.74 = 347.46 : x
  2. Step 2: Convert to fraction form
    596.29/822.74 = 347.46/x
  3. Step 3: Cross multiply
    596.29x = 822.74 × 347.46
  4. Step 4: Simplify right side
    596.29x = 285,869.24
  5. Step 5: Solve for x
    x = 285,869.24/596.29
  6. Step 6: Final answer
    x = 479.41

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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.