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Finding the Fourth Proportional to 599.90, 899.66 and 253.16

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Solution

The fourth proportional to 599.90, 899.66 and 253.16 is: 379.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.90 : 899.66 = 253.16 : x
  2. Step 2: Convert to fraction form
    599.90/899.66 = 253.16/x
  3. Step 3: Cross multiply
    599.90x = 899.66 × 253.16
  4. Step 4: Simplify right side
    599.90x = 227,757.43
  5. Step 5: Solve for x
    x = 227,757.43/599.90
  6. Step 6: Final answer
    x = 379.66

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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.