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Finding the Fourth Proportional to 416.35, 624.49 and 172.86

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Solution

The fourth proportional to 416.35, 624.49 and 172.86 is: 259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.35 : 624.49 = 172.86 : x
  2. Step 2: Convert to fraction form
    416.35/624.49 = 172.86/x
  3. Step 3: Cross multiply
    416.35x = 624.49 × 172.86
  4. Step 4: Simplify right side
    416.35x = 107,948.48
  5. Step 5: Solve for x
    x = 107,948.48/416.35
  6. Step 6: Final answer
    x = 259.28

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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.