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Finding the Fourth Proportional to 431.78, 647.20 and 278.00

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Solution

The fourth proportional to 431.78, 647.20 and 278.00 is: 416.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.78 : 647.20 = 278.00 : x
  2. Step 2: Convert to fraction form
    431.78/647.20 = 278.00/x
  3. Step 3: Cross multiply
    431.78x = 647.20 × 278.00
  4. Step 4: Simplify right side
    431.78x = 179,917.67
  5. Step 5: Solve for x
    x = 179,917.67/431.78
  6. Step 6: Final answer
    x = 416.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.