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Finding the Fourth Proportional to 612.28, 918.68 and 406.92

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Solution

The fourth proportional to 612.28, 918.68 and 406.92 is: 610.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.28 : 918.68 = 406.92 : x
  2. Step 2: Convert to fraction form
    612.28/918.68 = 406.92/x
  3. Step 3: Cross multiply
    612.28x = 918.68 × 406.92
  4. Step 4: Simplify right side
    612.28x = 373,829.27
  5. Step 5: Solve for x
    x = 373,829.27/612.28
  6. Step 6: Final answer
    x = 610.55

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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.