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Finding the Fourth Proportional to 597.56, 896.42 and 186.64

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Solution

The fourth proportional to 597.56, 896.42 and 186.64 is: 279.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.56 : 896.42 = 186.64 : x
  2. Step 2: Convert to fraction form
    597.56/896.42 = 186.64/x
  3. Step 3: Cross multiply
    597.56x = 896.42 × 186.64
  4. Step 4: Simplify right side
    597.56x = 167,306.05
  5. Step 5: Solve for x
    x = 167,306.05/597.56
  6. Step 6: Final answer
    x = 279.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.