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Finding the Fourth Proportional to 599.80, 827.70 and 403

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Solution

The fourth proportional to 599.80, 827.70 and 403 is: 556.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.80 : 827.70 = 403 : x
  2. Step 2: Convert to fraction form
    599.80/827.70 = 403/x
  3. Step 3: Cross multiply
    599.80x = 827.70 × 403
  4. Step 4: Simplify right side
    599.80x = 333,563.10
  5. Step 5: Solve for x
    x = 333,563.10/599.80
  6. Step 6: Final answer
    x = 556.12

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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.