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Finding the Fourth Proportional to 675.98, 932.38 and 413.54

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Solution

The fourth proportional to 675.98, 932.38 and 413.54 is: 570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.98 : 932.38 = 413.54 : x
  2. Step 2: Convert to fraction form
    675.98/932.38 = 413.54/x
  3. Step 3: Cross multiply
    675.98x = 932.38 × 413.54
  4. Step 4: Simplify right side
    675.98x = 385,576.43
  5. Step 5: Solve for x
    x = 385,576.43/675.98
  6. Step 6: Final answer
    x = 570.40

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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.