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Finding the Fourth Proportional to 596.90, 823.74 and 334.89

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Solution

The fourth proportional to 596.90, 823.74 and 334.89 is: 462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.90 : 823.74 = 334.89 : x
  2. Step 2: Convert to fraction form
    596.90/823.74 = 334.89/x
  3. Step 3: Cross multiply
    596.90x = 823.74 × 334.89
  4. Step 4: Simplify right side
    596.90x = 275,862.29
  5. Step 5: Solve for x
    x = 275,862.29/596.90
  6. Step 6: Final answer
    x = 462.16

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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.