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Finding the Fourth Proportional to 535.47, 802.91 and 170.25

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Solution

The fourth proportional to 535.47, 802.91 and 170.25 is: 255.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.47 : 802.91 = 170.25 : x
  2. Step 2: Convert to fraction form
    535.47/802.91 = 170.25/x
  3. Step 3: Cross multiply
    535.47x = 802.91 × 170.25
  4. Step 4: Simplify right side
    535.47x = 136,694.58
  5. Step 5: Solve for x
    x = 136,694.58/535.47
  6. Step 6: Final answer
    x = 255.28

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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.