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Finding the Fourth Proportional to 634.61, 875.45 and 413.48

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Solution

The fourth proportional to 634.61, 875.45 and 413.48 is: 570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.61 : 875.45 = 413.48 : x
  2. Step 2: Convert to fraction form
    634.61/875.45 = 413.48/x
  3. Step 3: Cross multiply
    634.61x = 875.45 × 413.48
  4. Step 4: Simplify right side
    634.61x = 361,974.62
  5. Step 5: Solve for x
    x = 361,974.62/634.61
  6. Step 6: Final answer
    x = 570.39

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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.