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Finding the Fourth Proportional to 537.60, 806.82 and 278.04

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Solution

The fourth proportional to 537.60, 806.82 and 278.04 is: 417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.60 : 806.82 = 278.04 : x
  2. Step 2: Convert to fraction form
    537.60/806.82 = 278.04/x
  3. Step 3: Cross multiply
    537.60x = 806.82 × 278.04
  4. Step 4: Simplify right side
    537.60x = 224,328.23
  5. Step 5: Solve for x
    x = 224,328.23/537.60
  6. Step 6: Final answer
    x = 417.28

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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.