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Finding the Fourth Proportional to 599.67, 899.51 and 462.92

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Solution

The fourth proportional to 599.67, 899.51 and 462.92 is: 694.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.67 : 899.51 = 462.92 : x
  2. Step 2: Convert to fraction form
    599.67/899.51 = 462.92/x
  3. Step 3: Cross multiply
    599.67x = 899.51 × 462.92
  4. Step 4: Simplify right side
    599.67x = 416,394.36
  5. Step 5: Solve for x
    x = 416,394.36/599.67
  6. Step 6: Final answer
    x = 694.37

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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.