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Finding the Fourth Proportional to 597.87, 896.67 and 187.00

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Solution

The fourth proportional to 597.87, 896.67 and 187.00 is: 280.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.87 : 896.67 = 187.00 : x
  2. Step 2: Convert to fraction form
    597.87/896.67 = 187.00/x
  3. Step 3: Cross multiply
    597.87x = 896.67 × 187.00
  4. Step 4: Simplify right side
    597.87x = 167,675.05
  5. Step 5: Solve for x
    x = 167,675.05/597.87
  6. Step 6: Final answer
    x = 280.45

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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.