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Finding the Fourth Proportional to 535.31, 803.01 and 275.47

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Solution

The fourth proportional to 535.31, 803.01 and 275.47 is: 413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.31 : 803.01 = 275.47 : x
  2. Step 2: Convert to fraction form
    535.31/803.01 = 275.47/x
  3. Step 3: Cross multiply
    535.31x = 803.01 × 275.47
  4. Step 4: Simplify right side
    535.31x = 221,204.19
  5. Step 5: Solve for x
    x = 221,204.19/535.31
  6. Step 6: Final answer
    x = 413.23

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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.