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Finding the Fourth Proportional to 675.65, 932.19 and 413.48

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Solution

The fourth proportional to 675.65, 932.19 and 413.48 is: 570.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.65 : 932.19 = 413.48 : x
  2. Step 2: Convert to fraction form
    675.65/932.19 = 413.48/x
  3. Step 3: Cross multiply
    675.65x = 932.19 × 413.48
  4. Step 4: Simplify right side
    675.65x = 385,441.92
  5. Step 5: Solve for x
    x = 385,441.92/675.65
  6. Step 6: Final answer
    x = 570.48

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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.