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Finding the Fourth Proportional to 535.46, 802.59 and 227.57

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Solution

The fourth proportional to 535.46, 802.59 and 227.57 is: 341.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.46 : 802.59 = 227.57 : x
  2. Step 2: Convert to fraction form
    535.46/802.59 = 227.57/x
  3. Step 3: Cross multiply
    535.46x = 802.59 × 227.57
  4. Step 4: Simplify right side
    535.46x = 182,645.41
  5. Step 5: Solve for x
    x = 182,645.41/535.46
  6. Step 6: Final answer
    x = 341.10

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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.