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Finding the Fourth Proportional to 634.04, 875.28 and 413.16

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Solution

The fourth proportional to 634.04, 875.28 and 413.16 is: 570.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.04 : 875.28 = 413.16 : x
  2. Step 2: Convert to fraction form
    634.04/875.28 = 413.16/x
  3. Step 3: Cross multiply
    634.04x = 875.28 × 413.16
  4. Step 4: Simplify right side
    634.04x = 361,630.68
  5. Step 5: Solve for x
    x = 361,630.68/634.04
  6. Step 6: Final answer
    x = 570.36

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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.