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Finding the Fourth Proportional to 634.82, 875.86 and 410.76

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Solution

The fourth proportional to 634.82, 875.86 and 410.76 is: 566.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.82 : 875.86 = 410.76 : x
  2. Step 2: Convert to fraction form
    634.82/875.86 = 410.76/x
  3. Step 3: Cross multiply
    634.82x = 875.86 × 410.76
  4. Step 4: Simplify right side
    634.82x = 359,768.25
  5. Step 5: Solve for x
    x = 359,768.25/634.82
  6. Step 6: Final answer
    x = 566.72

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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.