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Finding the Fourth Proportional to 596.37, 822.95 and 334.35

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Solution

The fourth proportional to 596.37, 822.95 and 334.35 is: 461.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.37 : 822.95 = 334.35 : x
  2. Step 2: Convert to fraction form
    596.37/822.95 = 334.35/x
  3. Step 3: Cross multiply
    596.37x = 822.95 × 334.35
  4. Step 4: Simplify right side
    596.37x = 275,151.66
  5. Step 5: Solve for x
    x = 275,151.66/596.37
  6. Step 6: Final answer
    x = 461.38

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Double scale
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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.