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Finding the Fourth Proportional to 280.46, 417.06 and 271.80

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Solution

The fourth proportional to 280.46, 417.06 and 271.80 is: 404.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.46 : 417.06 = 271.80 : x
  2. Step 2: Convert to fraction form
    280.46/417.06 = 271.80/x
  3. Step 3: Cross multiply
    280.46x = 417.06 × 271.80
  4. Step 4: Simplify right side
    280.46x = 113,356.91
  5. Step 5: Solve for x
    x = 113,356.91/280.46
  6. Step 6: Final answer
    x = 404.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.