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Finding the Fourth Proportional to 630.96, 945.81 and 240.72

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Solution

The fourth proportional to 630.96, 945.81 and 240.72 is: 360.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.96 : 945.81 = 240.72 : x
  2. Step 2: Convert to fraction form
    630.96/945.81 = 240.72/x
  3. Step 3: Cross multiply
    630.96x = 945.81 × 240.72
  4. Step 4: Simplify right side
    630.96x = 227,675.38
  5. Step 5: Solve for x
    x = 227,675.38/630.96
  6. Step 6: Final answer
    x = 360.84

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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.