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Finding the Fourth Proportional to 535.14, 802.37 and 226.91

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Solution

The fourth proportional to 535.14, 802.37 and 226.91 is: 340.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.14 : 802.37 = 226.91 : x
  2. Step 2: Convert to fraction form
    535.14/802.37 = 226.91/x
  3. Step 3: Cross multiply
    535.14x = 802.37 × 226.91
  4. Step 4: Simplify right side
    535.14x = 182,064.93
  5. Step 5: Solve for x
    x = 182,064.93/535.14
  6. Step 6: Final answer
    x = 340.22

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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.