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Finding the Fourth Proportional to 599.46, 827.08 and 375.58

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Solution

The fourth proportional to 599.46, 827.08 and 375.58 is: 518.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.46 : 827.08 = 375.58 : x
  2. Step 2: Convert to fraction form
    599.46/827.08 = 375.58/x
  3. Step 3: Cross multiply
    599.46x = 827.08 × 375.58
  4. Step 4: Simplify right side
    599.46x = 310,634.71
  5. Step 5: Solve for x
    x = 310,634.71/599.46
  6. Step 6: Final answer
    x = 518.19

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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.