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Finding the Fourth Proportional to 596.57, 823.19 and 334.58

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Solution

The fourth proportional to 596.57, 823.19 and 334.58 is: 461.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.57 : 823.19 = 334.58 : x
  2. Step 2: Convert to fraction form
    596.57/823.19 = 334.58/x
  3. Step 3: Cross multiply
    596.57x = 823.19 × 334.58
  4. Step 4: Simplify right side
    596.57x = 275,417.12
  5. Step 5: Solve for x
    x = 275,417.12/596.57
  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.