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Finding the Fourth Proportional to 633.86, 875.16 and 413.23

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Solution

The fourth proportional to 633.86, 875.16 and 413.23 is: 570.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.86 : 875.16 = 413.23 : x
  2. Step 2: Convert to fraction form
    633.86/875.16 = 413.23/x
  3. Step 3: Cross multiply
    633.86x = 875.16 × 413.23
  4. Step 4: Simplify right side
    633.86x = 361,642.37
  5. Step 5: Solve for x
    x = 361,642.37/633.86
  6. Step 6: Final answer
    x = 570.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.