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Finding the Fourth Proportional to 530.69, 796.00 and 222.38

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Solution

The fourth proportional to 530.69, 796.00 and 222.38 is: 333.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.69 : 796.00 = 222.38 : x
  2. Step 2: Convert to fraction form
    530.69/796.00 = 222.38/x
  3. Step 3: Cross multiply
    530.69x = 796.00 × 222.38
  4. Step 4: Simplify right side
    530.69x = 177,009.94
  5. Step 5: Solve for x
    x = 177,009.94/530.69
  6. Step 6: Final answer
    x = 333.55

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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.