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Finding the Fourth Proportional to 613.44, 918.24 and 468.96

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Solution

The fourth proportional to 613.44, 918.24 and 468.96 is: 701.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.44 : 918.24 = 468.96 : x
  2. Step 2: Convert to fraction form
    613.44/918.24 = 468.96/x
  3. Step 3: Cross multiply
    613.44x = 918.24 × 468.96
  4. Step 4: Simplify right side
    613.44x = 430,617.83
  5. Step 5: Solve for x
    x = 430,617.83/613.44
  6. Step 6: Final answer
    x = 701.97

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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.