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Finding the Fourth Proportional to 599.97, 899.01 and 463.35

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Solution

The fourth proportional to 599.97, 899.01 and 463.35 is: 694.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.97 : 899.01 = 463.35 : x
  2. Step 2: Convert to fraction form
    599.97/899.01 = 463.35/x
  3. Step 3: Cross multiply
    599.97x = 899.01 × 463.35
  4. Step 4: Simplify right side
    599.97x = 416,556.28
  5. Step 5: Solve for x
    x = 416,556.28/599.97
  6. Step 6: Final answer
    x = 694.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.