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Finding the Fourth Proportional to 599.40, 899.40 and 275

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Solution

The fourth proportional to 599.40, 899.40 and 275 is: 412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.40 : 899.40 = 275 : x
  2. Step 2: Convert to fraction form
    599.40/899.40 = 275/x
  3. Step 3: Cross multiply
    599.40x = 899.40 × 275
  4. Step 4: Simplify right side
    599.40x = 247,335
  5. Step 5: Solve for x
    x = 247,335/599.40
  6. Step 6: Final answer
    x = 412.64

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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.