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Finding the Fourth Proportional to 409.55, 565.64 and 278.33

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Solution

The fourth proportional to 409.55, 565.64 and 278.33 is: 384.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.55 : 565.64 = 278.33 : x
  2. Step 2: Convert to fraction form
    409.55/565.64 = 278.33/x
  3. Step 3: Cross multiply
    409.55x = 565.64 × 278.33
  4. Step 4: Simplify right side
    409.55x = 157,434.58
  5. Step 5: Solve for x
    x = 157,434.58/409.55
  6. Step 6: Final answer
    x = 384.41

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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.