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Finding the Fourth Proportional to 596.93, 823.76 and 334.95

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Solution

The fourth proportional to 596.93, 823.76 and 334.95 is: 462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.93 : 823.76 = 334.95 : x
  2. Step 2: Convert to fraction form
    596.93/823.76 = 334.95/x
  3. Step 3: Cross multiply
    596.93x = 823.76 × 334.95
  4. Step 4: Simplify right side
    596.93x = 275,916.74
  5. Step 5: Solve for x
    x = 275,916.74/596.93
  6. Step 6: Final answer
    x = 462.23

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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.