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Finding the Fourth Proportional to 599.45, 898.17 and 291.23

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Solution

The fourth proportional to 599.45, 898.17 and 291.23 is: 436.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.45 : 898.17 = 291.23 : x
  2. Step 2: Convert to fraction form
    599.45/898.17 = 291.23/x
  3. Step 3: Cross multiply
    599.45x = 898.17 × 291.23
  4. Step 4: Simplify right side
    599.45x = 261,574.05
  5. Step 5: Solve for x
    x = 261,574.05/599.45
  6. Step 6: Final answer
    x = 436.36

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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.