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Finding the Fourth Proportional to 634.08, 874.48 and 412.95

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Solution

The fourth proportional to 634.08, 874.48 and 412.95 is: 569.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.08 : 874.48 = 412.95 : x
  2. Step 2: Convert to fraction form
    634.08/874.48 = 412.95/x
  3. Step 3: Cross multiply
    634.08x = 874.48 × 412.95
  4. Step 4: Simplify right side
    634.08x = 361,116.52
  5. Step 5: Solve for x
    x = 361,116.52/634.08
  6. Step 6: Final answer
    x = 569.51

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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.