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Finding the Fourth Proportional to 423.74, 634.41 and 277.66

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Solution

The fourth proportional to 423.74, 634.41 and 277.66 is: 415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.74 : 634.41 = 277.66 : x
  2. Step 2: Convert to fraction form
    423.74/634.41 = 277.66/x
  3. Step 3: Cross multiply
    423.74x = 634.41 × 277.66
  4. Step 4: Simplify right side
    423.74x = 176,150.28
  5. Step 5: Solve for x
    x = 176,150.28/423.74
  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.