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Finding the Fourth Proportional to 535.33, 802.99 and 227.10

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Solution

The fourth proportional to 535.33, 802.99 and 227.10 is: 340.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.33 : 802.99 = 227.10 : x
  2. Step 2: Convert to fraction form
    535.33/802.99 = 227.10/x
  3. Step 3: Cross multiply
    535.33x = 802.99 × 227.10
  4. Step 4: Simplify right side
    535.33x = 182,359.03
  5. Step 5: Solve for x
    x = 182,359.03/535.33
  6. Step 6: Final answer
    x = 340.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.