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Finding the Fourth Proportional to 535.45, 802.57 and 227.11

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Solution

The fourth proportional to 535.45, 802.57 and 227.11 is: 340.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.45 : 802.57 = 227.11 : x
  2. Step 2: Convert to fraction form
    535.45/802.57 = 227.11/x
  3. Step 3: Cross multiply
    535.45x = 802.57 × 227.11
  4. Step 4: Simplify right side
    535.45x = 182,271.67
  5. Step 5: Solve for x
    x = 182,271.67/535.45
  6. Step 6: Final answer
    x = 340.41

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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.