Home / 596.12-822.62-334.14

Finding the Fourth Proportional to 596.12, 822.62 and 334.14

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Solution

The fourth proportional to 596.12, 822.62 and 334.14 is: 461.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.12 : 822.62 = 334.14 : x
  2. Step 2: Convert to fraction form
    596.12/822.62 = 334.14/x
  3. Step 3: Cross multiply
    596.12x = 822.62 × 334.14
  4. Step 4: Simplify right side
    596.12x = 274,870.25
  5. Step 5: Solve for x
    x = 274,870.25/596.12
  6. Step 6: Final answer
    x = 461.10

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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.