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Finding the Fourth Proportional to 410, 566.28 and 278.78

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Solution

The fourth proportional to 410, 566.28 and 278.78 is: 385.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    410 : 566.28 = 278.78 : x
  2. Step 2: Convert to fraction form
    410/566.28 = 278.78/x
  3. Step 3: Cross multiply
    410x = 566.28 × 278.78
  4. Step 4: Simplify right side
    410x = 157,867.54
  5. Step 5: Solve for x
    x = 157,867.54/410
  6. Step 6: Final answer
    x = 385.04

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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.