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Finding the Fourth Proportional to 417.89, 625.90 and 407.56

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Solution

The fourth proportional to 417.89, 625.90 and 407.56 is: 610.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.89 : 625.90 = 407.56 : x
  2. Step 2: Convert to fraction form
    417.89/625.90 = 407.56/x
  3. Step 3: Cross multiply
    417.89x = 625.90 × 407.56
  4. Step 4: Simplify right side
    417.89x = 255,091.80
  5. Step 5: Solve for x
    x = 255,091.80/417.89
  6. Step 6: Final answer
    x = 610.44

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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.