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Finding the Fourth Proportional to 607.81, 911.24 and 242.50

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Solution

The fourth proportional to 607.81, 911.24 and 242.50 is: 363.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.81 : 911.24 = 242.50 : x
  2. Step 2: Convert to fraction form
    607.81/911.24 = 242.50/x
  3. Step 3: Cross multiply
    607.81x = 911.24 × 242.50
  4. Step 4: Simplify right side
    607.81x = 220,975.70
  5. Step 5: Solve for x
    x = 220,975.70/607.81
  6. Step 6: Final answer
    x = 363.56

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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.