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Finding the Fourth Proportional to 596.30, 822.86 and 334.32

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Solution

The fourth proportional to 596.30, 822.86 and 334.32 is: 461.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.30 : 822.86 = 334.32 : x
  2. Step 2: Convert to fraction form
    596.30/822.86 = 334.32/x
  3. Step 3: Cross multiply
    596.30x = 822.86 × 334.32
  4. Step 4: Simplify right side
    596.30x = 275,098.56
  5. Step 5: Solve for x
    x = 275,098.56/596.30
  6. Step 6: Final answer
    x = 461.34

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1.5x scale

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.