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Finding the Fourth Proportional to 596.76, 823.65 and 334.86

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Solution

The fourth proportional to 596.76, 823.65 and 334.86 is: 462.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.76 : 823.65 = 334.86 : x
  2. Step 2: Convert to fraction form
    596.76/823.65 = 334.86/x
  3. Step 3: Cross multiply
    596.76x = 823.65 × 334.86
  4. Step 4: Simplify right side
    596.76x = 275,807.44
  5. Step 5: Solve for x
    x = 275,807.44/596.76
  6. Step 6: Final answer
    x = 462.17

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Find fourth proportional to 298.38, 411.83 and 167.43
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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.