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Finding the Fourth Proportional to 675.72, 932.43 and 413.68

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Solution

The fourth proportional to 675.72, 932.43 and 413.68 is: 570.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.72 : 932.43 = 413.68 : x
  2. Step 2: Convert to fraction form
    675.72/932.43 = 413.68/x
  3. Step 3: Cross multiply
    675.72x = 932.43 × 413.68
  4. Step 4: Simplify right side
    675.72x = 385,727.64
  5. Step 5: Solve for x
    x = 385,727.64/675.72
  6. Step 6: Final answer
    x = 570.84

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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.