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Finding the Fourth Proportional to 634.84, 876 and 414.22

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Solution

The fourth proportional to 634.84, 876 and 414.22 is: 571.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.84 : 876 = 414.22 : x
  2. Step 2: Convert to fraction form
    634.84/876 = 414.22/x
  3. Step 3: Cross multiply
    634.84x = 876 × 414.22
  4. Step 4: Simplify right side
    634.84x = 362,856.72
  5. Step 5: Solve for x
    x = 362,856.72/634.84
  6. Step 6: Final answer
    x = 571.57

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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.