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Finding the Fourth Proportional to 596.48, 823.10 and 334.49

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Solution

The fourth proportional to 596.48, 823.10 and 334.49 is: 461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.48 : 823.10 = 334.49 : x
  2. Step 2: Convert to fraction form
    596.48/823.10 = 334.49/x
  3. Step 3: Cross multiply
    596.48x = 823.10 × 334.49
  4. Step 4: Simplify right side
    596.48x = 275,312.93
  5. Step 5: Solve for x
    x = 275,312.93/596.48
  6. Step 6: Final answer
    x = 461.57

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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.