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Finding the Fourth Proportional to 596.46, 823.04 and 347.73

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Solution

The fourth proportional to 596.46, 823.04 and 347.73 is: 479.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.46 : 823.04 = 347.73 : x
  2. Step 2: Convert to fraction form
    596.46/823.04 = 347.73/x
  3. Step 3: Cross multiply
    596.46x = 823.04 × 347.73
  4. Step 4: Simplify right side
    596.46x = 286,193.96
  5. Step 5: Solve for x
    x = 286,193.96/596.46
  6. Step 6: Final answer
    x = 479.82

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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.