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Finding the Fourth Proportional to 535.26, 802.89 and 261.12

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Solution

The fourth proportional to 535.26, 802.89 and 261.12 is: 391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.26 : 802.89 = 261.12 : x
  2. Step 2: Convert to fraction form
    535.26/802.89 = 261.12/x
  3. Step 3: Cross multiply
    535.26x = 802.89 × 261.12
  4. Step 4: Simplify right side
    535.26x = 209,650.64
  5. Step 5: Solve for x
    x = 209,650.64/535.26
  6. Step 6: Final answer
    x = 391.68

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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.