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Finding the Fourth Proportional to 599.48, 827.02 and 403.05

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Solution

The fourth proportional to 599.48, 827.02 and 403.05 is: 556.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.48 : 827.02 = 403.05 : x
  2. Step 2: Convert to fraction form
    599.48/827.02 = 403.05/x
  3. Step 3: Cross multiply
    599.48x = 827.02 × 403.05
  4. Step 4: Simplify right side
    599.48x = 333,330.41
  5. Step 5: Solve for x
    x = 333,330.41/599.48
  6. Step 6: Final answer
    x = 556.03

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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.