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Finding the Fourth Proportional to 599.66, 827.48 and 334.10

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Solution

The fourth proportional to 599.66, 827.48 and 334.10 is: 461.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.66 : 827.48 = 334.10 : x
  2. Step 2: Convert to fraction form
    599.66/827.48 = 334.10/x
  3. Step 3: Cross multiply
    599.66x = 827.48 × 334.10
  4. Step 4: Simplify right side
    599.66x = 276,461.07
  5. Step 5: Solve for x
    x = 276,461.07/599.66
  6. Step 6: Final answer
    x = 461.03

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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.