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Finding the Fourth Proportional to 409.94, 565.80 and 278.99

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Solution

The fourth proportional to 409.94, 565.80 and 278.99 is: 385.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.94 : 565.80 = 278.99 : x
  2. Step 2: Convert to fraction form
    409.94/565.80 = 278.99/x
  3. Step 3: Cross multiply
    409.94x = 565.80 × 278.99
  4. Step 4: Simplify right side
    409.94x = 157,852.54
  5. Step 5: Solve for x
    x = 157,852.54/409.94
  6. Step 6: Final answer
    x = 385.06

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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.