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Finding the Fourth Proportional to 417.12, 624.60 and 406.80

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Solution

The fourth proportional to 417.12, 624.60 and 406.80 is: 609.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.12 : 624.60 = 406.80 : x
  2. Step 2: Convert to fraction form
    417.12/624.60 = 406.80/x
  3. Step 3: Cross multiply
    417.12x = 624.60 × 406.80
  4. Step 4: Simplify right side
    417.12x = 254,087.28
  5. Step 5: Solve for x
    x = 254,087.28/417.12
  6. Step 6: Final answer
    x = 609.15

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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.