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Finding the Fourth Proportional to 596.74, 823.59 and 360.86

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Solution

The fourth proportional to 596.74, 823.59 and 360.86 is: 498.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.74 : 823.59 = 360.86 : x
  2. Step 2: Convert to fraction form
    596.74/823.59 = 360.86/x
  3. Step 3: Cross multiply
    596.74x = 823.59 × 360.86
  4. Step 4: Simplify right side
    596.74x = 297,200.69
  5. Step 5: Solve for x
    x = 297,200.69/596.74
  6. Step 6: Final answer
    x = 498.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.