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Finding the Fourth Proportional to 535.34, 802.22 and 238.49

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Solution

The fourth proportional to 535.34, 802.22 and 238.49 is: 357.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.34 : 802.22 = 238.49 : x
  2. Step 2: Convert to fraction form
    535.34/802.22 = 238.49/x
  3. Step 3: Cross multiply
    535.34x = 802.22 × 238.49
  4. Step 4: Simplify right side
    535.34x = 191,316.24
  5. Step 5: Solve for x
    x = 191,316.24/535.34
  6. Step 6: Final answer
    x = 357.38

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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.