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Finding the Fourth Proportional to 424.05, 635.61 and 277.34

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Solution

The fourth proportional to 424.05, 635.61 and 277.34 is: 415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.05 : 635.61 = 277.34 : x
  2. Step 2: Convert to fraction form
    424.05/635.61 = 277.34/x
  3. Step 3: Cross multiply
    424.05x = 635.61 × 277.34
  4. Step 4: Simplify right side
    424.05x = 176,277.94
  5. Step 5: Solve for x
    x = 176,277.94/424.05
  6. Step 6: Final answer
    x = 415.70

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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.