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Finding the Fourth Proportional to 409.76, 564.59 and 278.54

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Solution

The fourth proportional to 409.76, 564.59 and 278.54 is: 383.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.76 : 564.59 = 278.54 : x
  2. Step 2: Convert to fraction form
    409.76/564.59 = 278.54/x
  3. Step 3: Cross multiply
    409.76x = 564.59 × 278.54
  4. Step 4: Simplify right side
    409.76x = 157,260.92
  5. Step 5: Solve for x
    x = 157,260.92/409.76
  6. Step 6: Final answer
    x = 383.79

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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.