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Finding the Fourth Proportional to 599.70, 899.55 and 214.95

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Solution

The fourth proportional to 599.70, 899.55 and 214.95 is: 322.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.70 : 899.55 = 214.95 : x
  2. Step 2: Convert to fraction form
    599.70/899.55 = 214.95/x
  3. Step 3: Cross multiply
    599.70x = 899.55 × 214.95
  4. Step 4: Simplify right side
    599.70x = 193,353.77
  5. Step 5: Solve for x
    x = 193,353.77/599.70
  6. Step 6: Final answer
    x = 322.42

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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.