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Finding the Fourth Proportional to 406.76, 561.06 and 251.24

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Solution

The fourth proportional to 406.76, 561.06 and 251.24 is: 346.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.76 : 561.06 = 251.24 : x
  2. Step 2: Convert to fraction form
    406.76/561.06 = 251.24/x
  3. Step 3: Cross multiply
    406.76x = 561.06 × 251.24
  4. Step 4: Simplify right side
    406.76x = 140,960.71
  5. Step 5: Solve for x
    x = 140,960.71/406.76
  6. Step 6: Final answer
    x = 346.55

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