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Finding the Fourth Proportional to 407.76, 610.38 and 268.78

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Solution

The fourth proportional to 407.76, 610.38 and 268.78 is: 402.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.76 : 610.38 = 268.78 : x
  2. Step 2: Convert to fraction form
    407.76/610.38 = 268.78/x
  3. Step 3: Cross multiply
    407.76x = 610.38 × 268.78
  4. Step 4: Simplify right side
    407.76x = 164,057.94
  5. Step 5: Solve for x
    x = 164,057.94/407.76
  6. Step 6: Final answer
    x = 402.34

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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.