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Finding the Fourth Proportional to 607.72, 911.57 and 174.87

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Solution

The fourth proportional to 607.72, 911.57 and 174.87 is: 262.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.72 : 911.57 = 174.87 : x
  2. Step 2: Convert to fraction form
    607.72/911.57 = 174.87/x
  3. Step 3: Cross multiply
    607.72x = 911.57 × 174.87
  4. Step 4: Simplify right side
    607.72x = 159,406.25
  5. Step 5: Solve for x
    x = 159,406.25/607.72
  6. Step 6: Final answer
    x = 262.30

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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.