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Finding the Fourth Proportional to 634.92, 875.52 and 413.79

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Solution

The fourth proportional to 634.92, 875.52 and 413.79 is: 570.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.92 : 875.52 = 413.79 : x
  2. Step 2: Convert to fraction form
    634.92/875.52 = 413.79/x
  3. Step 3: Cross multiply
    634.92x = 875.52 × 413.79
  4. Step 4: Simplify right side
    634.92x = 362,281.42
  5. Step 5: Solve for x
    x = 362,281.42/634.92
  6. Step 6: Final answer
    x = 570.59

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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.