Home / 596.10-822.72-334.20

Finding the Fourth Proportional to 596.10, 822.72 and 334.20

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Solution

The fourth proportional to 596.10, 822.72 and 334.20 is: 461.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.10 : 822.72 = 334.20 : x
  2. Step 2: Convert to fraction form
    596.10/822.72 = 334.20/x
  3. Step 3: Cross multiply
    596.10x = 822.72 × 334.20
  4. Step 4: Simplify right side
    596.10x = 274,953.02
  5. Step 5: Solve for x
    x = 274,953.02/596.10
  6. Step 6: Final answer
    x = 461.25

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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.