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Finding the Fourth Proportional to 599.48, 827.28 and 389.74

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Solution

The fourth proportional to 599.48, 827.28 and 389.74 is: 537.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.48 : 827.28 = 389.74 : x
  2. Step 2: Convert to fraction form
    599.48/827.28 = 389.74/x
  3. Step 3: Cross multiply
    599.48x = 827.28 × 389.74
  4. Step 4: Simplify right side
    599.48x = 322,424.11
  5. Step 5: Solve for x
    x = 322,424.11/599.48
  6. Step 6: Final answer
    x = 537.84

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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.