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Finding the Fourth Proportional to 633.76, 874.88 and 413.04

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Solution

The fourth proportional to 633.76, 874.88 and 413.04 is: 570.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.76 : 874.88 = 413.04 : x
  2. Step 2: Convert to fraction form
    633.76/874.88 = 413.04/x
  3. Step 3: Cross multiply
    633.76x = 874.88 × 413.04
  4. Step 4: Simplify right side
    633.76x = 361,360.44
  5. Step 5: Solve for x
    x = 361,360.44/633.76
  6. Step 6: Final answer
    x = 570.18

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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.