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Finding the Fourth Proportional to 599.67, 898.08 and 382.59

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Solution

The fourth proportional to 599.67, 898.08 and 382.59 is: 572.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.67 : 898.08 = 382.59 : x
  2. Step 2: Convert to fraction form
    599.67/898.08 = 382.59/x
  3. Step 3: Cross multiply
    599.67x = 898.08 × 382.59
  4. Step 4: Simplify right side
    599.67x = 343,596.43
  5. Step 5: Solve for x
    x = 343,596.43/599.67
  6. Step 6: Final answer
    x = 572.98

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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.