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Finding the Fourth Proportional to 417.04, 625.84 and 280.35

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Solution

The fourth proportional to 417.04, 625.84 and 280.35 is: 420.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.04 : 625.84 = 280.35 : x
  2. Step 2: Convert to fraction form
    417.04/625.84 = 280.35/x
  3. Step 3: Cross multiply
    417.04x = 625.84 × 280.35
  4. Step 4: Simplify right side
    417.04x = 175,453.54
  5. Step 5: Solve for x
    x = 175,453.54/417.04
  6. Step 6: Final answer
    x = 420.71

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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.