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Finding the Fourth Proportional to 406.76, 561.78 and 275.54

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Solution

The fourth proportional to 406.76, 561.78 and 275.54 is: 380.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.76 : 561.78 = 275.54 : x
  2. Step 2: Convert to fraction form
    406.76/561.78 = 275.54/x
  3. Step 3: Cross multiply
    406.76x = 561.78 × 275.54
  4. Step 4: Simplify right side
    406.76x = 154,792.79
  5. Step 5: Solve for x
    x = 154,792.79/406.76
  6. Step 6: Final answer
    x = 380.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.