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Finding the Fourth Proportional to 634.88, 875.76 and 413.84

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Solution

The fourth proportional to 634.88, 875.76 and 413.84 is: 570.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.88 : 875.76 = 413.84 : x
  2. Step 2: Convert to fraction form
    634.88/875.76 = 413.84/x
  3. Step 3: Cross multiply
    634.88x = 875.76 × 413.84
  4. Step 4: Simplify right side
    634.88x = 362,424.52
  5. Step 5: Solve for x
    x = 362,424.52/634.88
  6. Step 6: Final answer
    x = 570.86

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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.