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Finding the Fourth Proportional to 596.01, 822.51 and 334.04

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Solution

The fourth proportional to 596.01, 822.51 and 334.04 is: 460.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.01 : 822.51 = 334.04 : x
  2. Step 2: Convert to fraction form
    596.01/822.51 = 334.04/x
  3. Step 3: Cross multiply
    596.01x = 822.51 × 334.04
  4. Step 4: Simplify right side
    596.01x = 274,753.30
  5. Step 5: Solve for x
    x = 274,753.30/596.01
  6. Step 6: Final answer
    x = 460.99

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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.