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Finding the Fourth Proportional to 599.67, 898.29 and 462.24

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Solution

The fourth proportional to 599.67, 898.29 and 462.24 is: 692.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.67 : 898.29 = 462.24 : x
  2. Step 2: Convert to fraction form
    599.67/898.29 = 462.24/x
  3. Step 3: Cross multiply
    599.67x = 898.29 × 462.24
  4. Step 4: Simplify right side
    599.67x = 415,225.57
  5. Step 5: Solve for x
    x = 415,225.57/599.67
  6. Step 6: Final answer
    x = 692.42

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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.