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Finding the Fourth Proportional to 409.68, 564.96 and 278.48

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Solution

The fourth proportional to 409.68, 564.96 and 278.48 is: 384.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.68 : 564.96 = 278.48 : x
  2. Step 2: Convert to fraction form
    409.68/564.96 = 278.48/x
  3. Step 3: Cross multiply
    409.68x = 564.96 × 278.48
  4. Step 4: Simplify right side
    409.68x = 157,330.06
  5. Step 5: Solve for x
    x = 157,330.06/409.68
  6. Step 6: Final answer
    x = 384.03

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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.