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Finding the Fourth Proportional to 535.06, 803.13 and 275.41

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Solution

The fourth proportional to 535.06, 803.13 and 275.41 is: 413.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.06 : 803.13 = 275.41 : x
  2. Step 2: Convert to fraction form
    535.06/803.13 = 275.41/x
  3. Step 3: Cross multiply
    535.06x = 803.13 × 275.41
  4. Step 4: Simplify right side
    535.06x = 221,190.03
  5. Step 5: Solve for x
    x = 221,190.03/535.06
  6. Step 6: Final answer
    x = 413.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.