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Finding the Fourth Proportional to 599.90, 900.17 and 469.52

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Solution

The fourth proportional to 599.90, 900.17 and 469.52 is: 704.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.90 : 900.17 = 469.52 : x
  2. Step 2: Convert to fraction form
    599.90/900.17 = 469.52/x
  3. Step 3: Cross multiply
    599.90x = 900.17 × 469.52
  4. Step 4: Simplify right side
    599.90x = 422,640.97
  5. Step 5: Solve for x
    x = 422,640.97/599.90
  6. Step 6: Final answer
    x = 704.52

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