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Finding the Fourth Proportional to 407.76, 612 and 271.08

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Solution

The fourth proportional to 407.76, 612 and 271.08 is: 406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.76 : 612 = 271.08 : x
  2. Step 2: Convert to fraction form
    407.76/612 = 271.08/x
  3. Step 3: Cross multiply
    407.76x = 612 × 271.08
  4. Step 4: Simplify right side
    407.76x = 165,900.96
  5. Step 5: Solve for x
    x = 165,900.96/407.76
  6. Step 6: Final answer
    x = 406.86

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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.