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Finding the Fourth Proportional to 416.96, 625.52 and 185.76

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Solution

The fourth proportional to 416.96, 625.52 and 185.76 is: 278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.96 : 625.52 = 185.76 : x
  2. Step 2: Convert to fraction form
    416.96/625.52 = 185.76/x
  3. Step 3: Cross multiply
    416.96x = 625.52 × 185.76
  4. Step 4: Simplify right side
    416.96x = 116,196.60
  5. Step 5: Solve for x
    x = 116,196.60/416.96
  6. Step 6: Final answer
    x = 278.68

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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.