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Finding the Fourth Proportional to 596.04, 822.58 and 334.06

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Solution

The fourth proportional to 596.04, 822.58 and 334.06 is: 461.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.04 : 822.58 = 334.06 : x
  2. Step 2: Convert to fraction form
    596.04/822.58 = 334.06/x
  3. Step 3: Cross multiply
    596.04x = 822.58 × 334.06
  4. Step 4: Simplify right side
    596.04x = 274,785.29
  5. Step 5: Solve for x
    x = 274,785.29/596.04
  6. Step 6: Final answer
    x = 461.02

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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.