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Finding the Fourth Proportional to 535.26, 802.74 and 170.08

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Solution

The fourth proportional to 535.26, 802.74 and 170.08 is: 255.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.26 : 802.74 = 170.08 : x
  2. Step 2: Convert to fraction form
    535.26/802.74 = 170.08/x
  3. Step 3: Cross multiply
    535.26x = 802.74 × 170.08
  4. Step 4: Simplify right side
    535.26x = 136,530.02
  5. Step 5: Solve for x
    x = 136,530.02/535.26
  6. Step 6: Final answer
    x = 255.07

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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.