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Finding the Fourth Proportional to 607.68, 911.49 and 174.84

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Solution

The fourth proportional to 607.68, 911.49 and 174.84 is: 262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.68 : 911.49 = 174.84 : x
  2. Step 2: Convert to fraction form
    607.68/911.49 = 174.84/x
  3. Step 3: Cross multiply
    607.68x = 911.49 × 174.84
  4. Step 4: Simplify right side
    607.68x = 159,364.91
  5. Step 5: Solve for x
    x = 159,364.91/607.68
  6. Step 6: Final answer
    x = 262.25

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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.