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Finding the Fourth Proportional to 535.12, 801.63 and 351.97

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Solution

The fourth proportional to 535.12, 801.63 and 351.97 is: 527.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.12 : 801.63 = 351.97 : x
  2. Step 2: Convert to fraction form
    535.12/801.63 = 351.97/x
  3. Step 3: Cross multiply
    535.12x = 801.63 × 351.97
  4. Step 4: Simplify right side
    535.12x = 282,149.71
  5. Step 5: Solve for x
    x = 282,149.71/535.12
  6. Step 6: Final answer
    x = 527.26

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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.