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Finding the Fourth Proportional to 596.58, 823.24 and 347.86

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Solution

The fourth proportional to 596.58, 823.24 and 347.86 is: 480.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.58 : 823.24 = 347.86 : x
  2. Step 2: Convert to fraction form
    596.58/823.24 = 347.86/x
  3. Step 3: Cross multiply
    596.58x = 823.24 × 347.86
  4. Step 4: Simplify right side
    596.58x = 286,369.28
  5. Step 5: Solve for x
    x = 286,369.28/596.58
  6. Step 6: Final answer
    x = 480.02

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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.