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Finding the Fourth Proportional to 417.48, 625.95 and 280.62

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Solution

The fourth proportional to 417.48, 625.95 and 280.62 is: 420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.48 : 625.95 = 280.62 : x
  2. Step 2: Convert to fraction form
    417.48/625.95 = 280.62/x
  3. Step 3: Cross multiply
    417.48x = 625.95 × 280.62
  4. Step 4: Simplify right side
    417.48x = 175,654.09
  5. Step 5: Solve for x
    x = 175,654.09/417.48
  6. Step 6: Final answer
    x = 420.75

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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.