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Finding the Fourth Proportional to 409.30, 565.30 and 278.08

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Solution

The fourth proportional to 409.30, 565.30 and 278.08 is: 384.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.30 : 565.30 = 278.08 : x
  2. Step 2: Convert to fraction form
    409.30/565.30 = 278.08/x
  3. Step 3: Cross multiply
    409.30x = 565.30 × 278.08
  4. Step 4: Simplify right side
    409.30x = 157,198.62
  5. Step 5: Solve for x
    x = 157,198.62/409.30
  6. Step 6: Final answer
    x = 384.07

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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.