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Finding the Fourth Proportional to 596.61, 823.26 and 334.57

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Solution

The fourth proportional to 596.61, 823.26 and 334.57 is: 461.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.61 : 823.26 = 334.57 : x
  2. Step 2: Convert to fraction form
    596.61/823.26 = 334.57/x
  3. Step 3: Cross multiply
    596.61x = 823.26 × 334.57
  4. Step 4: Simplify right side
    596.61x = 275,438.10
  5. Step 5: Solve for x
    x = 275,438.10/596.61
  6. Step 6: Final answer
    x = 461.67

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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.