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Finding the Fourth Proportional to 422.70, 633.51 and 278.52

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Solution

The fourth proportional to 422.70, 633.51 and 278.52 is: 417.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.70 : 633.51 = 278.52 : x
  2. Step 2: Convert to fraction form
    422.70/633.51 = 278.52/x
  3. Step 3: Cross multiply
    422.70x = 633.51 × 278.52
  4. Step 4: Simplify right side
    422.70x = 176,445.21
  5. Step 5: Solve for x
    x = 176,445.21/422.70
  6. Step 6: Final answer
    x = 417.42

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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.